Wolfram equation solver

Built into the Wolfram Language is the world's largest collection of both numerical and symbolic equation solving wolfram equation solver — with many original algorithms, all automatically accessed through a small number of exceptionally powerful functions. The Wolfram Language's symbolic architecture allows both equations and their solutions to be conveniently given in symbolic form, and immediately integrated into computations and visualizations, wolfram equation solver. Solve — exact solutions to equations and systems. NSolve — numerical solutions to equations and systems.

Wolfram Alpha is capable of solving a wide variety of systems of equations. It can solve systems of linear equations or systems involving nonlinear equations, and it can search specifically for integer solutions or solutions over another domain. Additionally, it can solve systems involving inequalities and more general constraints. Enter your queries using plain English. To avoid ambiguous queries, make sure to use parentheses where necessary. Here are some examples illustrating how to ask about solving systems of equations. Get immediate feedback and guidance with step-by-step solutions and Wolfram Problem Generator.

Wolfram equation solver

Solve [ expr , vars ]. Solve [ expr , vars , dom ]. Common choices of dom are Reals , Integers , and Complexes. Solve simultaneous equations in and :. Plot the real parts of the solutions for y as a function of the parameter a :. Solution of this equation over the reals requires conditions on the parameters:. Use Normal to remove the conditions:. Solution of this equation over the positive integers requires introduction of a new parameter:. By default, Solve uses Root objects to represent solutions of general cubic equations with numeric coefficients:. Here Solve finds some solutions but is not able to prove there are no other solutions:. Equation with a purely imaginary period over a vertical stripe in the complex plane:. Systems exp-log in the first variable and polynomial in the other variables:. Systems elementary and bounded in the first variable and polynomial in the other variables:. Systems analytic and bounded in the first variable and polynomial in the other variables:. The answer depends on the parameter value :.

Equation with a purely imaginary period over a vertical stripe in the complex plane:.

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 Wolfram Language has many powerful features that enable you to solve many kinds of equations. You can solve an equation using Solve. The result is a Rule inside a doubly nested list. The outer list holds all of the solutions and each inner list holds a single solution. Here there are three solutions:. To solve a system of equations, use a list in the first argument:. Here there are two solutions to a simultaneous system of equations; each solution set is wrapped in its own list:.

Wolfram equation solver

Wolfram Alpha can apply the quadratic formula to solve equations coercible into the form. In doing so, Wolfram Alpha finds both the real and complex roots of these equations. It can also utilize other methods helpful to solving quadratic equations, such as completing the square, factoring and graphing. Enter your queries using plain English. To avoid ambiguous queries, make sure to use parentheses where necessary.

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For univariate equations, Solve repeats solutions according to their multiplicity:. Equation Possible Issues 7 Solve gives generic solutions; solutions involving equations on parameters are not given:. By default, Solve uses inverse functions but prints warning messages:. Enable JavaScript to interact with content and submit forms on Wolfram websites. Root objects may involve parameters:. This mathematically equivalent assumption contains the solve variable, and hence is treated as a part of the system to solve:. Solutions are given as replacement rules and can be directly used for substitution:. Real roots of irreducible cubics still contain I in their algebraic forms by casus irreducibilis :. GeneratedParameters 1 Solve may introduce new parameters to represent the solution:. Wolfram Alpha is capable of solving a wide variety of systems of equations.

Solve [ expr , vars ]. Solve [ expr , vars , dom ]. Common choices of dom are Reals , Integers , and Complexes.

Common choices of dom are Reals , Integers , and Complexes. By default, Solve uses the general formulas for solving quartics in radicals only when symbolic parameters are present:. Use FindInstance to find solution instances:. The answer depends on the parameter value :. If has degree , then it is well known that there are roots, once one takes into account multiplicity. Wolfram Alpha doesn't run without JavaScript. Here the removable singularity at is cancelled by Together , which is used to preprocess the equation:. Solutions of algebraic equations are often given in terms of Root objects:. Solve [ expr , vars ] attempts to solve the system expr of equations or inequalities for the variables vars. Get immediate feedback and guidance with step-by-step solutions and Wolfram Problem Generator. This mathematically equivalent assumption contains the solve variable, and hence is treated as a part of the system to solve:. Here Solve finds some solutions but is not able to prove there are no other solutions:.