# Polar equation solver

Wolfram Alpha is a great tool for finding polynomial roots and solving systems of equations. It also factors polynomials, plots polynomial solution sets and inequalities and more. Enter your queries using plain English. To avoid ambiguous queries, make sure to use parentheses where necessary. Here are some examples illustrating how to formulate queries. Get immediate feedback and guidance with step-by-step solutions and Wolfram Problem Generator. The largest exponent of appearing in is called the degree of.

If has degreethen it is well known that there are roots, once one takes into account multiplicity. To understand what is meant by multiplicity, take, for example. This polynomial is considered to have two roots, both equal to 3. One learns about the "factor theorem," typically in a second course on algebra, as a way to find all roots that are rational numbers. One also learns how to find roots of all quadratic polynomials, using square roots arising from the discriminant when necessary.

There are more advanced formulas for expressing roots of cubic and quartic polynomials, and also a number of numeric methods for approximating roots of arbitrary polynomials. These use methods from complex analysis as well as sophisticated numerical algorithms, and indeed, this is an area of ongoing research and development. Systems of linear equations are often solved using Gaussian elimination or related methods.

This too is typically encountered in secondary or college math curricula. More advanced methods are needed to find roots of simultaneous systems of nonlinear equations. Similar remarks hold for working with systems of inequalities: the linear case can be handled using methods covered in linear algebra courses, whereas higher-degree polynomial systems typically require more sophisticated computational tools.

For equation solving, Wolfram Alpha calls the Wolfram Language's Solve and Reduce functions, which contain a broad range of methods for all kinds of algebra, from basic linear and quadratic equations to multivariate nonlinear systems. In some cases, linear algebra methods such as Gaussian elimination are used, with optimizations to increase speed and reliability.

## Convert Equation from Rectangular to Polar Form

Other operations rely on theorems and algorithms from number theory, abstract algebra and other advanced fields to compute results.

These methods are carefully designed and chosen to enable Wolfram Alpha to solve the greatest variety of problems while also minimizing computation time. Although such methods are useful for direct solutions, it is also important for the system to understand how a human would solve the same problem.

As a result, Wolfram Alpha also has separate algorithms to show algebraic operations step by step using classic techniques that are easy for humans to recognize and follow.

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This includes elimination, substitution, the quadratic formula, Cramer's rule and many more. Uh oh! Wolfram Alpha doesn't run without JavaScript.

Polar Equations to Rectangular Equations, Precalculus, Examples and Practice Problems

Please enable JavaScript. If you don't know how, you can find instructions here. Once you've done that, refresh this page to start using Wolfram Alpha. Compute expert-level answers using Wolfram's breakthrough algorithms, knowledgebase and AI technology Example input More than just an online equation solver Wolfram Alpha is a great tool for finding polynomial roots and solving systems of equations.

How Wolfram Alpha solves equations For equation solving, Wolfram Alpha calls the Wolfram Language's Solve and Reduce functions, which contain a broad range of methods for all kinds of algebra, from basic linear and quadratic equations to multivariate nonlinear systems.Hope that helps!

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## Tangent Line Calculator

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Per our terms of use, Mathway's live experts will not knowingly provide solutions to students while they are taking a test or quiz. This website uses cookies to ensure you get the best experience on our website. More Information.Enter expression, e. Enter a set of expressions, e. Enter equation to solve, e.

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Enter equation to graph, e. Number of equations to solve: 2 3 4 5 6 7 8 9 Sample Problem Equ. Enter inequality to solve, e. Enter inequality to graph, e.

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Number of inequalities to solve: 2 3 4 5 6 7 8 9 Sample Problem Ineq. Please use this form if you would like to have this math solver on your website, free of charge. Expression Equation Inequality Contact us.

Solve Graph System. Math solver on your site. Registered: I am in a real mess. You know, I am having difficulties with my math and need a helping hand with online polar equation solver. Anyone you know who can save me with adding matrices, complex fractions and subtracting fractions?

### Equation Calculator

I tried hard to get a tutor, but failed. They are hard to find and also damn costly. Any advice on what I should do? I would very much appreciate a fast response. Most of the information is however crafted for the readers who already have some knowledge about this subject. If you are a complete novice, you should use Algebrator. Is it easy to understand and very helpful too. I found it particularly apt for linear equations, decimals and equivalent fractions. Once you feed in the problem, the program carries you all the way to the answer clearing up each step on its way. By the time you arrive at the answeryou by now know how to work out the problems. I benefited from learning to work out the problems with Algebra 1, Pre Algebra and Algebra 2 in algebra.

I am also positive that you too will love this program just as I did. I have used it frequently through several algebra classes — Basic Math, Algebra 1 and Algebra 1. Simply typing in the algebra problem and clicking on Solve, Algebrator generates step-by-step solution to the problem, and my math homework would be ready. I really recommend the program. I wanted something just like Algebrator, because I don't want a software which only solves the exercise and gives the final result, I want something that can actually show me how the exercise needs to be solved.

That way I can understand it and next time solve it on my own, not just copy the answers. Where can I find the software?

By using this website, you agree to our Cookie Policy. Learn more Accept. Conic Sections Trigonometry. Conic Sections. Matrices Vectors. Chemical Reactions Chemical Properties. Equation Calculator Solve linear, quadratic, biquadratic. Correct Answer :. Let's Try Again :. Try to further simplify.

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Generating PDF See All implicit derivative derivative domain extreme points critical points inverse laplace inflection points partial fractions asymptotes laplace eigenvector eigenvalue taylor area intercepts range vertex factor expand slope turning points.If polar equations have you second-guessing your future as a nuclear physicist, fret not! Remember the first time you saw an equation and were introduced to these strange x and y variables? It may seem like second nature now, but you were learning about a whole new way to communicate about points and curves.

Polar equations are no different. And I have good news! You already have all the tools you need to learn to express equations in polar form.

Polar coordinates exist to make it easier to communicate where a point is located. Where would you put the point 3,4? By now, you know that the red dot can also be represented as 5,0. If we were to express it in rectangular coordinates, the calculation would require a few extra steps.

So, although polar coordinates seem to complicate things when you are first introduced to them, learning to use them can simplify math for you quite a bit! Similarly, converting an equation from polar to rectangular form and vice versa can help you express a curve more simply.

Follow these five steps to convert equations between the polar and rectangular systems. A quick glance at your equation should tell you what form it is in. If it contains x s and y s, it is in rectangular form. If your equation is in polar form, your goal is to convert it in such a way that you are only left with x s and y s. It sounds simple, but reminding yourself of your goal will help you avoid getting stuck half way through converting your equation or going around in circles. Now, take a moment to examine your equation. Here are some key components you should be looking for. If they are not present in your equation, you should be thinking about how you might be able to make them appear.

Simplify your equation by combining like terms.This polar coordinates calculator is a handy tool that allows you to convert Cartesian to polar coordinates, as well as the other way around.

It is useful only in a 2D space - for 3D coordinates, you might want to head to our cylindrical coordinates calculator. This article will provide you with a short explanation of both types of coordinates and formulas for quick conversion.

As you probably know, coordinates are used to uniquely describe the position of a point in space. For know, we will limit ourselves to a 2D space.

It means that we only have two dimensions: height and width no depthjust as on a piece of paper.

### Polar/Cartesian Calculator

The Cartesian coordinate system is created by drawing two lines perpendicular to each other. Then, the point where they meet is called the origin of the coordinate system. Coordinates of any arbitrary point in space are the distances between this point and the two lines, denoted the x-axis and the y-axis. The polar coordinate system, on the other hand, does not include any perpendicular lines. The origin of the polar system is a point, called the pole.

An arbitrary ray from this point is chosen to be the polar axis. To find the polar coordinates of a given point, you first have to draw a line joining it with the pole. Let's assume you know the Cartesian coordinates of a point, but want to express them as polar coordinates.

Our Cartesian to polar calculator assumes that the origin of the Cartesian system overlaps with the pole of the polar system. You have to use the following formulas for conversion:.

It is also possible that you know the polar coordinates of a point, but wish to find the Cartesian ones with our polar coordinates calculator. To do it, simply use the following equations:. Polar Coordinates Calculator can be embedded on your website to enrich the content you wrote and make it easier for your visitors to understand your message.

Get the HTML code. Omni Calculator logo Embed Share via. Check out 22 similar coordinate geometry calculators. Rise over run calculator. Perpendicular line. Table of contents: Cartesian and polar coordinates Converting from Cartesian to polar Converting from polar to Cartesian. Cartesian and polar coordinates As you probably know, coordinates are used to uniquely describe the position of a point in space.

Our polar coordinates calculator is able to convert between Cartesian and polar coordinates. Converting from Cartesian to polar Let's assume you know the Cartesian coordinates of a point, but want to express them as polar coordinates.

Converting from polar to Cartesian It is also possible that you know the polar coordinates of a point, but wish to find the Cartesian ones with our polar coordinates calculator. Get the widget! It is free, awesome and will keep people coming back!This website uses cookies to ensure you get the best experience. By using this website, you agree to our Cookie Policy. Learn more Accept. Cartesian to Polar. Conic Sections Trigonometry. Conic Sections. Matrices Vectors. Chemical Reactions Chemical Properties.

Cartesian to Polar Calculator Convert cartesian coordinates to polar step by step. Correct Answer :. Let's Try Again :. Try to further simplify. Math can be an intimidating subject. Each new topic we learn has symbols and problems we have never seen. The unknowing Learning math takes practice, lots of practice.

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