Wolfram alpha equation solver

Wolfram Alpha is a great tool for finding polynomial roots and 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 :.

Wolfram alpha equation solver

The Wolfram Language has many powerful features that enable you to solve many kinds of equations. You can solve an equation using Solve. The result is a Rule inside a doubly nested list. The outer list holds all of the solutions and each inner list holds a single solution. Here there are three solutions:. To solve a system of equations, use a list in the first argument:. Here there are two solutions to a simultaneous system of equations; each solution set is wrapped in its own list:. Here the solution expresses one variable in terms of another:. To use one of these solutions here the first one is shown , use [ [ In a system of equations with multiple variables, you can solve for some or all of the variables by using a list in the second argument:. If the system is underspecified, the Wolfram Language will give an answer in terms of the remaining variables:. Solve finds what are known as "generic" solutions to equations. These are solutions that do not depend on the variables not specified in the second argument.

Basic Examples 5 Solve a quadratic equation:.

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.

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.

Wolfram alpha equation solver

The Wolfram Language has many powerful features that enable you to solve many kinds of equations. You can solve an equation using Solve. The result is a Rule inside a doubly nested list.

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A single variable or a list of variables can be specified. This solves the same problem using Resolve :. Resolve eliminates quantifiers, possibly without solving the resulting quantifier-free system:. Reduce and Solve additionally solve the resulting equations:. Give Feedback Top. By default, Solve uses Root objects to represent solutions of general cubic equations with numeric coefficients:. The answer depends on the parameter value :. Exists [ x , cond , expr ]. If you don't know how, you can find instructions here. Learn how. The system is said to be inconsistent otherwise, having no solutions. The following two systems are equivalent and have no generic solutions:.

Wolfram Alpha can apply the quadratic formula to solve equations coercible into the form. In doing so, Wolfram Alpha finds both the real and complex roots of these equations. It can also utilize other methods helpful to solving quadratic equations, such as completing the square, factoring and graphing.

InverseFunctions 3 By default, Solve uses inverse functions but prints warning messages:. Reduce gives all solutions, including those that require equations on parameters:. Use FunctionBijective to test whether a function is bijective:. The answer depends on the parameter value :. Quartics 3 By default, Solve uses the general formulas for solving quartics in radicals only when symbolic parameters are present:. Use the same syntax as you would with Solve :. Here the solution expresses one variable in terms of another:. Use MaxExtraConditions to specify the number of parameter conditions allowed:. Algebraic variables in expr free of vars and of each other are treated as independent parameters. The result is a Rule inside a doubly nested list. In the case of two variables, these systems can be thought of as lines drawn in two-dimensional space.