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Covering pre-algebra through algebra 3 with a variety of introductory and advanced lessons.

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Solving [imath]x^7-1=0[/imath] Sat, 13 Apr 2024 20:22:58 +0000

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[SOLVED BUT CANNOT DELETE THREAD] finding the Galois Group G([imath]\mathbb{Q(\sqrt{2}, \sqrt3)}/\mathbb{Q})[/imath] Wed, 24 Apr 2024 17:15:55 +0000

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Einstein, Albert (1879-1955) Do not worry about your difficulties in mathematics, I assure you that mine are greater.

Dirac, Paul Adrien Maurice (1902-1984) Mathematics is the tool specially suited for dealing with abstract concepts of any kind and there is no limit to its power in this field.

Egrafov, M. If you ask mathematicians what they do, you always get the same answer. They think. They think about difficult and unusual problems. They do not think about ordinary problems: they just write down the answers.

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Finally! We are very pleased to announce the new version of the site. We have added new exciting features such a crisp new graph designs, with a thorough review of the content and materials.

● And we have added a much anticipated feature: now you will be able to download the step-by-solutions our calculators provide in a Word (docx) file.

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This year is the year where MathCracker will make a substantial leap in terms of the content offered in the site. So, keep tuned for more math solvers, calculators and lessons, and all the success in this new academic year.

This in depth and meaty tutorial will help you understand how to factor algebraic expressions .

Simplifying radicals gotta be THE most useful thing to know about in Basic Algebra. Learn about it in this tutorial .

Among all things related to the rules of exponents, students tend to get confused when dealing with negative exponents . This tutorial will clarify all your doubts.

One of the crucial skills required to deal with algebraic expression is the proper use of rules of exponents .

All you need to know about Cramer's Rule and how to use it to solve systems of linear equations.

See this tutorial to learn how to and when to use the mean, median or mode as the measure of center, depending on the type of distribution.

What is a Box and Whisker Plot? How do you define the box? The Whiskers? Find out in this tutorial .

And to conclude the series on conic sections, it is now time for the ellipse .

We continue our series of tutorial on conic sections. This time, it is the turn of the hyperbola .

Conic sections and the general equation of the parabola .

A very complete and in depth tutorial on partial fractions decompositions , with concrete steps to follow.

A complete tutorial of how to apply log rules , with explanations and examples.

Take a look at this tutorial about PEMDAS and the convention for the order of operations .

Learn more about all the concepts related with the graph of a function .

One of the most versatile Math artifacts: See how the unit circle crosses Algebra, Geometry and Trigonometry.

Crucial concepts when dealing with functions: Domain and Range .

Another great, in-depth tutorial. All you need to know about the Absolute Value of a number .

Here is another crucial property in Algebra: the Commutative Property .

The associative property is one of those properties that is used all the time, but we do not really know.

All there is to know about horizontal asymptotes .

Learn all that there is to the circle: The Equation of a Circle .

We have started a new section for Finance solvers. Check them out: Future Value Calculator , Present Value Calculator , Present Value of an Annuity , among many other Finance Calculators .

One of the best advice right before starting a new semester: Don't panic .

Excellent article about why it is usually the easy Stats classes those where students need the most help with. Check it out! .

Going for a large overhaul in the site, which much more powerful tools. In the meantime, here I leave you a new article Tricks of the Trade: Finding Stats Homework Help . Another interesting post about why more and more students end up learning their Stats using private tutors. Check it here . Also all, you need to know about the process finding help with your finance assignment .

Although we already had a complete descriptive statistics calculator , I have requests to make some specific calculators, to compute one measure at a time, so here I have it: I added a mean calculator , standard deviation calculator and median calculator .

I have added a page that puts together all the articles we have available about education topics . Also, I found this interesting article about the advantages of staring with Algebra early in life.

Check our revised SPSS tutorial .

I have added a couple of algebraic solvers for arithmetic sequences and geometric sequences .

Z-scores are the way we compute normal probabilities, as any general normal distribution can always be reduced to a standard normal distribution. Check out this Z-Scores Calculator .

I have found two excellent tutorials one about hypothesis testing , and the other one about statistics and parameters . Both are great reads.

I have added several effect size calculators, including a Gamma Calculator and a Phi Coefficient Calculator .

The idea of "effect size" is very relevant in statistics. If often happens that a test statistics is significant, but the association has no practical meaning. This is because a extremely large sample size alone can find significant n extremely small effect. Cramer's V is a statistic that assess the effect size or practical significance of the association between nominal variables. Check it out: Cramer's V Calculator .

More solvers for our series of elementary geometry solvers, and we now add a calculator of the area and volume of a square pyramid that will show you all the steps and formulas used to calculate the surface area and volume of a square pyramid of side \(l\) and height \(h\).

Keeping the momentum up, here you have a calculator of the area and volume of a cone that will show you all the steps and formulas used to calculate the area and volume of a right circle cone radius \(r\) and height \(h\).

Another solver for our Geometry series, a calculator of the area and volume of a sphere that will show you all the steps and formulas used to calculate the area and volume of a sphere of radius \(r\).

Typically found in special tables, here you have a critical correlation calculator . The advantage of this calculator is that it will compute the critical correlation for any value of \(n\), which is not always possible when you use critical correlation tables, which only have a few values of \(n\).

Lots of people were asking for geometry solvers and here they are. I have started a new section for Geometry and I'll be adding more solver on a continuous basis. For now, here I leave for you a area and perimeter of a circle calculator , and an area and volume calculator for cylinders

This one is a solver that user were clamoring for: Let me introduce our Polynomial Operations Calculator , with which you can add, subtract and multiply polynomials, with the solution shown step-by-step. Also, we have started with MathQuill, and excellent option for enhancing the input of math.

We expand even more our Algebra series with some more basic solvers, in this case, a absolute value calculator .

New solver in our Algebra series, now I have added a solver that evaluates all sort of algebraic expressions that can include any kind of operation (sum, subtraction, multiplication, division), numbers, fractions, trigonometric functions, exponential functions, powers, roots, etc. Check our Algebraic Expression Calculator .

Continuing the series of Algebra solvers, I have added a solver that calculates operations between fractions and shows all the steps. Depending of the operation required it conducts the appropriate steps to reach the final fraction result, in reduced form. Check out our fraction operation solver .

I have made a new function grapher to replace the old flash grapher we had. This time, I used the Google Chart format, that looks more modern and goes along the trend of JS charts.

I get a lots of requests for this one, so here it goes. This is a fraction reduction tool fraction-reduction-lowest-terms.php , that takes a fraction into its lowest terms.

This time, I added a greatest common divisor , or as it usually known as greatest common factor calculator . I took care to provide as much detail as possible in the calculations shown by the solver.

Today I start with a new series of Algebra solvers. I have added a prime decomposition calculator , you type in a positive integer number and the solver tell you in a detailed way what is its prime decomposition.

I am very pleased to announce that we have rolled a new site design, with a much improved mobile functionality.

This time I decided to write on functions and how to deal with them .

Another article. This time dealing with the possibility of having a software that can solve Math and Stats problems FULLY automatically Check Here .

I loved the feedback I got from the first Math Crack, so I decided to pump up the series. I'll be uploading them periodically. This next first Math Crack is about an easy explanation of derivatives .

I finally started a project that I have been wanting to undertake for a while. It is the Math Cracks, which is the way I call to this short tutorials that attempt to explain hard math concepts in simple terms, step-by-step. The first Math Crack of the series is Integration by Parts .

A site update is coming soon. I will be changing the layout a bit so that to keep the solvers in a more organized way and the articles will be organized rather in blog format. I will be adding a complete set of Algebra solvers, so stay tuned.

A couple of tutorials and solvers were added: Quadratic Formula: The meaning of the term -b/2a , an article about Algebra 2 and a Line Plot Maker

I have added a couple of new articles for your reading enjoyment: Math Articles

I have added a minimum sample size calculator for mean and proportion

After long working hours, I've finished all the solvers required to cover all basic statistics topics. The new solvers are: Z-test for two means , Z-test for two proportions , T-test for two means , T-test for paired samples , Chi-Square Goodness of fit , and Chi-Square test of Independence . I also added the most important non-parametric tests, which are the Sign Test , also Wilcoxon Signed Ranks Test , as well as the Wilcoxon Rank-Sum Test and Kruskal-Wallis

I get asked to review different online curricula. Thanks to a guest writer, I just added a great article about online accounting curricula. You can check it here .

Found a very informational article about the do's and dont's of Accounting Homework Help. You can check it here .

Great changes to improve user experience are coming very soon. I have written recently many math and stats solvers that I'll be adding to the site. I've been polishing the scripts we already have and this is almost turning into a full time job. As many users are aware, we have had ads for the last few months, and even though I don't like ads, it is the only way to support the site, which is turning into a full time job by now. I'm looking for a more efficient way of using ads so that the site can be ad-supported and it continue being free that way.

More Stats tests done. I have finished a t-test for one population mean with unknown population standard deviation and a Chi-Square test for one population variance . Pretty much as the other solvers I have added, they are simple to use: define hypotheses, and parameters of the test, and a detailed step-by-step calculation is performed.

I've been working on these for a while and I finally finished them. I added a z-test for one population mean and a z-test for one population proportion . Very user friendly, define hypotheses, and parameters of the test, and a detailed step-by-step calculation is performed. Recommended.

I just added a working histogram maker . You enter the dataset and the number of bins and a properly scaled histogram is rendered by the script.

I have added a very cool bar graph maker . You enter the categories, the values associated with each of the categories, and a bar chart rendered by the script.

Not exactly the typical calculator we do, but I have had some requests for it, so I added a simple mortgage calculator tool to compute the monthly payment for a mortgage, under basic assumptions (without considering PMI and insurance).

I have uploaded a 2x2 system of linear equations solver.

I have updated the pie chart maker script.

I have added two confidence interval calculators. They are confidence intervals for the population mean μ when the population standard deviation σ is known and for when the and a population standard deviation is not known .

We have two more probability calculators. They are a binomial distribution calculator and a Poisson distribution calculator .

I have added two new probability calculators, based on a couple of requests I had. They are a exponential distribution calculator and a uniform distribution calculator .

I have added a new article. Check it out here .

I have added a correlation coefficient calculator . This time, the script is more user friendly, and checks for errors in the data before processing them.

I received a whole lot of e-mails asking for a tool to calculate grades. Well, I just did it. With this online grade calculator you are able to input your assignment/test scores and the calculator will tell your final score and final letter grade. And if you don't have all the grades, the calculator will tell you what score you need to get in your final assignment/test in order to get an A.

After some time of silence, I'm back. As many of you know, I run this site on my spare time trying to keep it as updated as possible. I'm very pleased to see the positive effect the math tools we offer in our site are having in the community. Countless e-mails thanking me for the work I put in the site make me want to keep working even harder. The free online math calculator we provide in the site have even been used as references in scientific papers. That is very cool indeed! I have great plans for the site. Keep visiting.

Our good friends at MGT are giving specially for us this 15% discount code for their online math homework help services: mthcrk1501 . From references given by users of our community, they are very reliable.

Summer is over, and time is back for some math. We have great plans for this year. Our aim is to offer the best quality free math help, for which reason we will continue adding more and more useful content. We also expect to materialize some very interesting partnerships. Stay tuned!

As promised, a couple of critical values calculators have been added: z-distribution critical values and t-distribution critical values

A t-distribution probability calculator was added. This is the first delivery of a series of scripts that will be added. Coming soon a couple of online calculators for critical values for the z-distribution and the t-distribution.

I just added an article about math problem solving techniques. See article

We have added more than 300 solved statistics problems

Due to a problem with a configuration file the scripts in the site were not working for a while, now they are working fine. Sorry for the inconvenience.

A good tutorial about the normal distribution was added. The normal distribution and the standard normal distribution

I added a good list of solved statistics problems.

I made a few adjustments to the scatterplot module, and added a new regression line tool, to complement the existing tool. Linear Regression Calculator

This new resource seems to be very useful, you may find it interesting to take a look Free Statistics Help

The site is back up online. For problems out of my control the site was down for a couple of weeks. We'll be back with new material. Thanks to everyone.

I have found a good collection of free solved math problems and math answers.

In case you have any suggestion, please do not hesitate to contact us .

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How should I be formatting my homework?

Neat homework can aid your comprehension and might make your teacher like you better. Purplemath's " Homework Guidelines for Mathematics " will give you a leg up, explaining in clear terms what your math teacher is looking for. The Guidelines link to examples of common errors, and demonstrate techniques that your instructors will love! In addition, students who get in the habit of explaining themselves clearly in their homework gain greater understanding of what they're doing, and therefore tend to do much better on their tests.

English teachers tell their students explicitly how to format their papers: what fonts, what page margins, what style guides, etc. Math teachers, on the other hand, frequently just complain amongst themselves in the faculty lounge about how messy their students' work is. Meanwhile, their students wonder why they've lost points on homework and tests.

Study these Guidelines , print out this " formatting " PDF, and improve your learning, retention, and test scores. Don't leave easy points on the table!

Go to the Guidelines!

How can I measure my study skills?

Many students, from time to time, wonder, "Do I have what it takes to succeed in math?" Much of one's success or failure in algebra can be laid at the feet of one's study habits. Do you have good math study habits? Take this survey and find out.

Go to the study-skills self-survey!

Personalized Help ($): Investigate hiring a qualified tutor in your local area (US only), or try e-mail tutoring from Purplemath's author. But for in-depth, quality, video-supported, at-home help, including self-testing and immediate feedback, try MathHelp.com . MathHelp.com comes highly recommended by homeschoolers, military service members, and other practical people. If you're needing more intensive help, give MathHelp.com a try!

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Examples for

Mathematics

Wolfram|Alpha has broad knowledge and deep computational power when it comes to math. Whether it be arithmetic, algebra, calculus, differential equations or anything in between, Wolfram|Alpha is up to the challenge. Get help with math homework, solve specific math problems or find information on mathematical subjects and topics.

Do basic arithmetic. Work with fractions, percentages and similar fundamentals. Solve place value and word problems.

Do basic arithmetic:

Do exact arithmetic with fractions:.

Compute the properties of geometric objects of various kinds in 2, 3 or higher dimensions. Explore and apply ideas from many subfields of geometry.

Compute properties of a geometric figure:

Plot a conic section and identify its type:, compute properties of a polyhedron:.

Work with various kinds of numbers. Check for membership in larger sets, such as the rationals or the transcendental numbers. Convert between bases.

Compute a decimal approximation to a specified number of digits:

Convert a decimal number to another base:.

Analyze integers; subsets of the integers, including the prime numbers; and related ideas.

Compute a prime factorization:

Solve a diophantine equation:.

Perform numerical analysis and optimization of systems and objects, including packing and covering of objects and control systems.

Minimize or maximize a function:

Numerically integrate functions that cannot be integrated symbolically:.

Make queries about various definitions and descriptions in mathematics.

Find information about a math concept:

Get a brief definition:.

Compute properties of datasets, perform statistical inference or model data. Work with probability distributions and random variables.

Calculate basic descriptive statistics for a data set:

Find the sample size needed to estimate a binomial parameter:.

Find roots of and expand, factor or simplify mathematical expressions—everything from polynomials to fields and groups.

Solve an equation:

Factor a polynomial:, simplify an expression:.

Solve differential equations of any order. Examine solutions and plots of the solution families. Specify initial conditions to find exact solutions.

Solve a linear ordinary differential equation:

Specify initial values:, solve a nonlinear equation:.

Perform trigonometric calculations and explore properties of trigonometric functions and identities.

Compute values of trigonometric functions:

Solve a trigonometric equation:.

Explore sequences and recurrences, solve common problems in combinatorics and compute properties of graphs and lattices.

Compute a possible formula and continuation for a sequence:

Analyze a graph specified by adjacency rules:, solve a recurrence:.

Evaluate Boolean logic expressions and expressions involving sets and set operators. Solve Boolean equations. Compute truth tables. Generate Venn diagrams.

Compute a truth table:

Generate a venn diagram:.

Gather information about famous problems, conjectures, theorems and paradoxes. Learn about them and their formulators.

Get information about a mathematical conjecture:

Get historical information about a theorem:.

Compute the probabilities of certain events occurring. Compute joint, disjoint or conditional probabilities and apply them to real-world situations.

Compute the probability of a union of events:

Compute coin‐toss probabilities:.

Compute integrals, derivatives and limits as well as analyze sums, products and series.

Compute an integral:

Calculate a derivative:, solve an ordinary differential equation:.

Visualize functions, equations and inequalities. Do so in 1, 2 or 3 dimensions. Make polar and parametric plots.

Plot a function:

Plot a region satisfying multiple inequalities:.

Explore and compute properties of vectors, matrices and vector spaces.

Compute properties of a vector:

Calculate properties of a matrix:, determine whether a set of vectors is linearly independent:.

Analyze functions and expressions containing imaginary numbers or complex variables.

Compute properties of a function of a complex variable (use the variable z ):

Compute the residue of a function at a point:.

Examine the properties of mathematical functions, such as continuity, surjectivity and parity. Utilize notable special functions or number theoretic functions.

Do computations with special functions:

Do computations with number theoretic functions:, find representations for a function:.

Compute; learn about algorithms, definitions and theorems involving; or find properties of continued fractions.

Find the continued fraction representation of a number:

Find definitions of continued fraction terminology:, find continued fraction papers by author:.

Get information about math Common Core Standards for kindergarten through eighth grade.

Evaluate an expression (CCSS.Math.Content.6.EE.A.2c):

Perform multiple operations with rational numbers (ccss.math.content.7.ns.a.2c):.

If you're seeing this message, it means we're having trouble loading external resources on our website.

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Geometry (all content)

Unit 1: lines, unit 2: angles, unit 3: shapes, unit 4: triangles, unit 5: quadrilaterals, unit 6: coordinate plane, unit 7: area and perimeter, unit 8: volume and surface area, unit 9: pythagorean theorem, unit 10: transformations, unit 11: congruence, unit 12: similarity, unit 13: trigonometry, unit 14: circles, unit 15: analytic geometry, unit 16: geometric constructions, unit 17: miscellaneous.

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  9. Algebra (all content)

    Algebra (all content) 20 units · 412 skills. Unit 1 Introduction to algebra. Unit 2 Solving basic equations & inequalities (one variable, linear) Unit 3 Linear equations, functions, & graphs. Unit 4 Sequences. Unit 5 System of equations. Unit 6 Two-variable inequalities. Unit 7 Functions. Unit 8 Absolute value equations, functions, & inequalities.

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  16. Algebra 1

    The Algebra 1 course, often taught in the 9th grade, covers Linear equations, inequalities, functions, and graphs; Systems of equations and inequalities; Extension of the concept of a function; Exponential models; and Quadratic equations, functions, and graphs. Khan Academy's Algebra 1 course is built to deliver a comprehensive, illuminating, engaging, and Common Core aligned experience!

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    Print out The Times Tables and stick them in your exercise book. Test Your Tables with an interactive quiz. Play with the Properties of the equation of a straight line. Visit the Math is Fun Forum. Math explained in easy language, plus puzzles, games, worksheets and an illustrated dictionary. For K-12 kids, teachers and parents.

  18. Wolfram MathWorld: The Web's Most Extensive Mathematics Resource

    Wolfram MathWorld is the web's most extensive mathematics resource, with 13,000 detailed entries on various topics, updated and illustrated by experts. It also offers interactive examples and links to related sites for math help.

  19. Free and clear online algebra help!

    Purplemath offers informal and clear algebra lessons, homework guidelines, and study skills survey for students of all levels. For more intensive and personalized help, try MathHelp.com, a video-supported online math service.

  20. Wolfram|Alpha Examples: Mathematics

    Algebra. Find roots of and expand, factor or simplify mathematical expressions—everything from polynomials to fields and groups. Solve an equation: x^3 - 4x^2 + 6x - 24 = 0. Factor a polynomial: factor 2x^5 - 19x^4 + 58x^3 - 67x^2 + 56x - 48. Simplify an expression: 1/ (1+sqrt (2)) More examples.

  21. Geometry (all content)

    Unit 1 Lines. Unit 2 Angles. Unit 3 Shapes. Unit 4 Triangles. Unit 5 Quadrilaterals. Unit 6 Coordinate plane. Unit 7 Area and perimeter. Unit 8 Volume and surface area. Unit 9 Pythagorean theorem.