Wolfram equation solver

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

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 :.

In the case of two variables, wolfram equation solver systems can be thought of as lines drawn in two-dimensional space. Reduce uses methods that are often slower, but finds all solutions and gives all necessary conditions:.

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.

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:. Here the solution expresses one variable in terms of another:. To use one of these solutions here the first one is shown , use [ [

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:.

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By default, Solve uses the general formulas for solving quartics in radicals only when symbolic parameters are present:. Complex Equations in One Variable 12 Polynomial equations solvable in radicals:. 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. If you don't know how, you can find instructions here. Use Reduce to get all solutions:. WorkingPrecision 1 By default, Solve finds exact solutions of equations:. Systems analytic and bounded in the first variable and polynomial in the other variables:. If you don't know how, you can find instructions here. Solve represents solutions in terms of replacement rules:. Solve simultaneous equations in and :. Solve may use non-equivalent transformations to find solutions of transcendental equations and hence it may not find some solutions and may not establish exact conditions on the validity of the solutions found. These methods are carefully designed and chosen to enable Wolfram Alpha to solve the greatest variety of problems while also minimizing computation time. In this case is a vector in :. Get immediate feedback and guidance with step-by-step solutions and Wolfram Problem Generator.

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.

RegionPlot , RegionPlot3D — plot regions satisfied by inequalities. Get immediate feedback and guidance with step-by-step solutions and Wolfram Problem Generator. 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. This solves the same problem using Resolve :. Solve may use non-equivalent transformations to find solutions of transcendental equations and hence it may not find some solutions and may not establish exact conditions on the validity of the solutions found. Conditions included in ConditionalExpression solutions may involve inequalities, Element statements, equations and inequations on non-continuous parameters, and equations with full-dimensional solutions. 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. Options 24 Assumptions 4 Specify conditions on parameters using Assumptions :. Solve uses special efficient techniques for handling sparse systems of linear equations with approximate numerical coefficients. The solutions are correct for and incorrect for :.