Wolfram alpha equation solver

Wolfram Alpha is a great tool for finding polynomial roots and solving systems of equations.

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:.

Wolfram alpha equation solver

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 :.

Solving systems of equations is a very general and important idea, and one that is fundamental in many areas of mathematics, engineering and science.

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.

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! Wolfram Alpha Pro step-by-step solutions not only give you the answers you're looking for, but also help you learn how to solve problems. Not just answers—step-by-step solutions buttons expand answers and explain how that answer was found. Break steps down even further with intermediate steps. These optional additional explanations for individual pieces of step-by-step solutions help guide you. Explore different ways of finding a solution. Use your classroom's teaching method to guide you through the answer. Your own tutor—hints are also frequently provided to not just provide answers, but also to guide you towards finding the solution yourself. Explore some of the content areas covered by step-by-step solutions, including math, chemistry and physics, or view more examples ».

Wolfram alpha equation solver

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.

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Natural Language Math Input. ForAll [ x , cond , expr ]. Quartics 3 By default, Solve uses the general formulas for solving quartics in radicals only when symbolic parameters are present:. An analytic function can have only finitely many zeros in a closed and bounded region:. Systems elementary and bounded in the first variable and polynomial in the other variables:. Here the solution expresses one variable in terms of another:. Here the solution is generic in the parameter space restricted by the assumptions:. You can also get the numeric solution directly by using NSolve , which is faster than combining N and Solve :. Algebraic variables in expr free of vars and of each other are treated as independent parameters. Assuming a system of four equations Use a system of three equations or a system of two equations instead.

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.

Use the same syntax as you would with Solve :. 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:. Solve [ expr , vars , Integers ] solves Diophantine equations over the integers. If dom is Reals , or a subset such as Integers or Rationals , then all constants and function values are also restricted to be real. The different coordinates for x can be referred to using Indexed [ x , i ]. If your equations involve only linear functions or polynomials, then you can use NSolve to get numerical approximations to all the solutions. Solve [ expr , vars ]. To solve a system is to find all such common solutions or points of intersection. GeneratedParameters 1 Solve may introduce new parameters to represent the solution:. To avoid ambiguous queries, make sure to use parentheses where necessary. Get immediate feedback and guidance with step-by-step solutions and Wolfram Problem Generator. If the system is underspecified, the Wolfram Language will give an answer in terms of the remaining variables:. 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.