For equation solving, Wolfram Alpha calls the Wolfram Language's Solve and Reduce functions, which contain a broad range of methods for all kinds of algebra, from basic linear and quadratic equations to multivariate nonlinear systems. In some cases, linear algebra methods such as Gaussian elimination are used, with optimizations to increase speed and reliability. Other operations rely on theorems and algorithms from number theory, abstract algebra and other advanced fields to compute results.
These methods are carefully designed and chosen to enable Wolfram Alpha to solve the greatest variety of problems while also minimizing computation time. 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.
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. This includes elimination, substitution, the quadratic formula, Cramer's rule and many more. Uh oh! Wolfram Alpha doesn't run without JavaScript.
Please enable JavaScript. There are other ways of solving a quadratic equation instead of using the quadratic formula, such as factoring direct factoring, grouping, AC method , completing the square, graphing and others. In mathematics, factorization or factorisation, see English spelling differences or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.
Simultaneous Equations. In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics.
It includes everything from elementary equation solving to the study of abstractions such as groups, rings, and fields. In mathematics, a polynomial is an expression consisting of indeterminates also called variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. More Related Concepts. Videos Matrices Vectors.
Chemical Reactions Chemical Properties. Solve For a Variable Calculator Solve the equation for different variables step-by-step. Get step-by-step solutions from expert tutors as fast as minutes. Your first 5 questions are on us! Cancel Proceed. Correct Answer :. Let's Try Again :. Try to further simplify.
Hide Plot ». Welcome to our new "Getting Started" math solutions series. Over the next few weeks, we'll be showing how Symbolab
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