Equation solver wolfram

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 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.

Equation solver wolfram

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 :.

Solve verifies solutions obtained using non-equivalent transformations:.

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.

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:.

Equation solver wolfram

Wolfram Alpha is a great calculator for first, second and third derivatives; derivatives at a point; and partial derivatives. Learn what derivatives are and how Wolfram Alpha calculates them. Enter your queries using plain English.

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SolveValues , NSolveValues — directly gives solution vectors. Use MaxExtraConditions to specify the number of parameter conditions allowed:. Reduce uses methods that are often slower, but finds all solutions and gives all necessary conditions:. To understand what is meant by multiplicity, take, for example,. Systems analytic and bounded in the first variable and polynomial in the other variables:. WorkingPrecision 1 By default, Solve finds exact solutions of equations:. Solve gives generic solutions only. Learn how. Method 1 By default, Solve uses inverse functions to solve non-polynomial complex equations:. These possess more complicated solution sets involving one, zero, infinite or any number of solutions, but work similarly to linear systems in that their solutions are the points satisfying all equations involved. SolveAlways gives the values of parameters for which complex equations are always true:.

NSolve [ expr , vars ]. NSolve [ expr , vars , Reals ]. Find three approximate solutions to a polynomial equation of a high degree:.

Here the solution is generic in the parameter space restricted by the assumptions:. Algebraic variables in expr free of vars and of each other are treated as independent parameters. Reduce and Solve additionally solve the resulting equations:. Here are some examples illustrating how to formulate queries. NDSolve — numerical solutions to differential, delay and hybrid equations. Solve [ expr , vars , Integers ] solves Diophantine equations over the integers. Exists [ x , cond , expr ]. Specify conditions on parameters using Assumptions :. WorkingPrecision 1 By default, Solve finds exact solutions of equations:. AsymptoticRSolveValue — asymptotic solutions to recurrence equations. Diophantine Equations 11 Linear systems of equations:. Plot the real parts of the solutions for y as a function of the parameter a :. Uh oh!