Wolfram equation solver

Solve [ exprvars ].

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.

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. To solve a system is to find all such common solutions or points of intersection. Systems of linear equations are a common and applicable subset of systems of equations. In the case of two variables, these systems can be thought of as lines drawn in two-dimensional space. If all lines converge to a common point, the system is said to be consistent and has a solution at this point of intersection. The system is said to be inconsistent otherwise, having no solutions. Systems of linear equations involving more than two variables work similarly, having either one solution, no solutions or infinite solutions the latter in the case that all component equations are equivalent.

Root objects may involve parameters:. VerifySolutions 1 Solve verifies solutions obtained using non-equivalent transformations:. InverseFunctions 3 By default, Solve uses inverse functions but prints warning messages:.

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.

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:.

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.

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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. These methods are carefully designed and chosen to enable Wolfram Alpha to solve the greatest variety of problems while also minimizing computation time. RecurrenceTable — table of solutions to recurrence and functional equations. Use Normal to remove the conditions:. When parameters are restricted to a discrete set, the notion of genericity is not well defined, and all solutions are returned:. Solve deals primarily with linear and polynomial equations. The different coordinates for x can be referred to using Indexed [ x , i ]. Reduce — reduce equations and inequalities. Use RSolve to solve recurrence equations:. Systems exp-log in the first variable and polynomial in the other variables:. Systems with Mixed Variable Domains 2 Mixed real and complex variables:.

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

By default, no solutions that require parameters to satisfy equations are produced:. FindInstance — find particular solutions to equations and inequalities. With parameters assumed to belong to a discrete set, solutions involving arbitrary conditions are returned:. As a result, Wolfram Alpha also has separate algorithms to show algebraic operations step by step using classic techniques that are easy for humans to recognize and follow. Options 24 Assumptions 4 Specify conditions on parameters using Assumptions :. ContourPlot , ContourPlot3D — plot solution curves and surfaces. Learn how. Removable singularities of input equations are generally not considered valid solutions:. If dom is Reals , or a subset such as Integers or Rationals , then all constants and function values are also restricted to be real. Possible Issues 7 Solve gives generic solutions; solutions involving equations on parameters are not given:.