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 number of exceptionally powerful functions, wolfram equation solver. 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 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:.

By default, no solutions that require parameters to satisfy equations are produced:.

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.

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 :.

Wolfram equation solver

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. The solutions to systems of equations are the variable mappings such that all component equations are satisfied—in other words, the locations at which all of these equations intersect.

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Algebraic variables in expr free of vars and of each other are treated as independent parameters. Cubics 4 By default, Solve uses general formulas for solving cubics in radicals only when symbolic parameters are present:. If all lines converge to a common point, the system is said to be consistent and has a solution at this point of intersection. More general systems involving nonlinear functions are possible as well. Real roots of irreducible cubics still contain I in their algebraic forms by casus irreducibilis :. If dom is Reals , or a subset such as Integers or Rationals , then all constants and function values are also restricted to be real. Here are some examples illustrating how to formulate queries. When expr involves transcendental conditions or integer domains, Solve will often introduce additional parameters in its results. Solutions that are valid only when continuous parameters satisfy equations are removed. Get immediate feedback and guidance with step-by-step solutions and Wolfram Problem Generator. Equation with a purely imaginary period over a vertical stripe in the complex plane:. ForAll [ x , cond , expr ].

The Wolfram Language has many powerful features that enable you to solve many kinds of equations.

In this case is a vector in :. These use methods from complex analysis as well as sophisticated numerical algorithms, and indeed, this is an area of ongoing research and development. Going further, more general systems of constraints are possible, such as ones that involve inequalities or have requirements that certain variables be integers. This solves the same problem using Resolve :. This mathematically equivalent assumption contains the solve variable, and hence is treated as a part of the system to solve:. Enter your queries using plain English. Use FunctionBijective to test whether a function is bijective:. SolveAlways gives the values of parameters for which complex equations are always true:. Introduced in 1. To avoid ambiguous queries, make sure to use parentheses where necessary. The removable singularity at is cancelled by evaluation:. 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. Solve represents solutions in terms of replacement rules:. Solutions that are valid only when continuous parameters satisfy equations are removed.