Wolfram alpha solve equation

Algebra is wolfram alpha solve equation of the core subjects of mathematics. Algebra consists of the study of variables within number systems, along with operations that act on numbers and symbols. Wolfram Alpha is a tremendous resource for solving equations; exploring polynomials; and studying fields, groups, vectors and matrices.

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 solve equation

Wolfram Alpha has broad knowledge and deep computational power when it comes to math. Whether it be arithmetic, algebra, calculus, differential equations or anything in between, Wolfram Alpha is up to the challenge. Get help with math homework, solve specific math problems or find information on mathematical subjects and topics. Do basic arithmetic. Work with fractions, percentages and similar fundamentals. Solve place value and word problems. Compute the properties of geometric objects of various kinds in 2, 3 or higher dimensions. Explore and apply ideas from many subfields of geometry. Work with various kinds of numbers. Check for membership in larger sets, such as the rationals or the transcendental numbers. Convert between bases.

When expr involves transcendental conditions or integer domains, Solve will often introduce additional parameters in its results. In this case is a vector in :.

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:.

Solutions for over topics within math, chemistry and physics problems across all levels of education, from elementary school to college. See how to show your work for arithmetic problems. See the steps for analyzing data and applying statistical methods. Explore step-by-step solutions for solving equations involving derivatives. Get step-by-step results for proving mathematical statements. Learn how to manipulate and solve expressions with variables step by step. Learn the steps for evaluating or manipulating trigonometric expressions. See the steps involved for determining different properties of numbers. Explore a wide array of chemistry topics with step-by-step solutions.

Wolfram alpha solve equation

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 results do not depend on whether some of the input equations contain only parameters. Find roots of and expand, factor or simplify mathematical expressions—everything from polynomials to fields and groups. Eliminate eliminates variables from systems of complex equations:. Assuming a system of four equations Use a system of three equations or a system of two equations instead. More general systems involving nonlinear functions are possible as well. Going further, more general systems of constraints are possible, such as ones that involve inequalities or have requirements that certain variables be integers. Introduced in 1. Here there are three solutions:. Uh oh! However, solutions may include removable singularities that are cancelled by automatic simplification:.

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.

The answer depends on the parameter value :. If dom is Reals , or a subset such as Integers or Rationals , then all constants and function values are also restricted to be real. 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 use methods from complex analysis as well as sophisticated numerical algorithms, and indeed, this is an area of ongoing research and development. Here the solution is generic in the parameter space restricted by the assumptions:. If you don't know how, you can find instructions here. Get help with math homework, solve specific math problems or find information on mathematical subjects and topics. Use to specify that is a vector in :. 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. Adding y in the second argument makes this solution show up:. Enter your queries using plain English. Systems analytic and bounded in the first variable and polynomial in the other variables:.