Equation solver wolfram

Wolfram Alpha is a great tool for finding polynomial roots and solving systems of equations. It also factors polynomials, plots polynomial equation solver wolfram sets and inequalities and more. Enter your queries using plain English.

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:.

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. DSolve — exact solutions to differential, delay and hybrid equations. NDSolve — numerical solutions to differential, delay and hybrid equations. ParametricNDSolve — numerical solution to differential equations with parameters. AsymptoticDSolveValue — asymptotic solutions to differential equations. RSolve — exact solutions to recurrence and functional equations. RecurrenceTable — table of solutions to recurrence and functional equations. AsymptoticRSolveValue — asymptotic solutions to recurrence equations. FindInstance — find particular solutions to equations and inequalities.

Using inverse functions allows Solve to find some solutions fast:.

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.

NSolve [ expr , vars ]. NSolve [ expr , vars , Reals ]. Find three approximate solutions to a polynomial equation of a high degree:. 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 holomorphic and bounded in the first variable and polynomial in the other variables:. Find values of parameters , , and for which the circles contain the given points:. Use to specify that is a vector in :.

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:.

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Solve deals primarily with linear and polynomial equations. 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. Equations over Finite Fields 3 Univariate equations:. ParametricNDSolve — numerical solution to differential equations with parameters. Give Feedback Top. Solving systems of equations is a very general and important idea, and one that is fundamental in many areas of mathematics, engineering and science. CMS Wolfram Language. The different coordinates for x can be referred to using Indexed [ x , i ]. The same problem can be expressed using ForAll and solved with Solve or Reduce :. These use methods from complex analysis as well as sophisticated numerical algorithms, and indeed, this is an area of ongoing research and development. Assuming a system of four equations Use a system of three equations or a system of two equations instead.

Use step-by-step calculators for chemistry, calculus, algebra, trigonometry, equation solving, basic math and more. Gain more understanding of your homework with steps and hints guiding you from problems to answers!

By default, Solve uses general formulas for solving cubics in radicals only when symbolic parameters are present:. Use Series to compute series expansions of Root objects:. Solve [ expr , vars ] assumes by default that quantities appearing algebraically in inequalities are real, while all other quantities are complex. SolveAlways gives the values of parameters for which complex equations are always true:. For univariate equations, Solve repeats solutions according to their multiplicity:. Reduce — reduce equations and inequalities. Uh oh! Similar remarks hold for working with systems of inequalities: the linear case can be handled using methods covered in linear algebra courses, whereas higher-degree polynomial systems typically require more sophisticated computational tools. 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. The same task can be accomplished with IntegerPartitions :. Diophantine Equations 11 Linear systems of equations:. Get immediate feedback and guidance with step-by-step solutions and Wolfram Problem Generator. This mathematically equivalent assumption contains the solve variable, and hence is treated as a part of the system to solve:. Systems with Mixed Variable Domains 2 Mixed real and complex variables:.