Equation solver wolfram

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.

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. 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. Solve — exact solutions to equations and systems. NSolve — numerical solutions to equations and systems. FindRoot — numerically find local roots of equations. SolveValues , NSolveValues — directly gives solution vectors.

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 :.

For transcendental equations, Solve may not give all solutions:. Last Modified Modular Equations 4 Linear 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.

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 :.

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. 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. Solve — exact solutions to equations and systems. NSolve — numerical solutions to equations and systems. FindRoot — numerically find local roots of equations. SolveValues , NSolveValues — directly gives solution vectors. AsymptoticSolve — asymptotic approximation to algebraic equations.

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If all lines converge to a common point, the system is said to be consistent and has a solution at this point of intersection. APA Wolfram Language. Reduce gives all solutions, including those that require equations on parameters:. Real roots of irreducible cubics still contain I in their algebraic forms by casus irreducibilis :. When expr involves only polynomial equations and inequalities over real or complex domains, then Solve can always in principle solve directly for vars. For symbols with the NumericFunction attribute, symbolic inverses are not used:. Systems exp-log in the first variable and polynomial in the other variables:. For polynomials with numeric coefficients, Solve does not use the formulas:. Get immediate feedback and guidance with step-by-step solutions and Wolfram Problem Generator. Removable singularities of input equations are generally not considered valid solutions:.

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.

The largest exponent of appearing in is called the degree of. Additionally, it can solve systems involving inequalities and more general constraints. Reduce — reduce equations and inequalities. More general systems involving nonlinear functions are possible as well. This polynomial is considered to have two roots, both equal to 3. With parameters assumed to belong to a discrete set, solutions involving arbitrary conditions are returned:. Wolfram Research. By default, Solve uses inverse functions to solve non-polynomial complex equations:. 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. Scope 80 Basic Uses 6 Solutions are given as lists of replacements:. Solve [ expr , vars ]. AsymptoticDSolveValue — asymptotic solutions to differential equations. Other operations rely on theorems and algorithms from number theory, abstract algebra and other advanced fields to compute results.