x

^{3}=x-
CREATE FREE ACCOUNT
- Access thousands of free resources from expert tutors
- Comment on posts and interact with the authors
- Ask questions and get free answers from tutors
- View videos, take interactive quizzes, and more!

- Become a Student
- Become a Student
- Sign In

x^{3}=x

Tutors, please sign in to answer this question.

Solve for zero to get

x^{3 }- x = 0

factor out an x to get

x(x^{2 }- 1) = 0

Now factor what is in the parenthesis by using the difference of squares rule:

so

x(x - 1)(x +1) = 0

now solve for all three answers (separate the factors and set them ALL = 0)

x = 0 , x - 1 = 0 , x + 1 = 0

when you solve these three you get x = 0, x = 1, and x = -1

Bill Fanning

El Paso, TX

Jennifer B.

Jennifer's Math Mania

Middletown, NJ

4.9
(29 ratings)

Fiona Z.

Dedicated, knowledgeable Tutor in Math, Sciences, and Chinese

Iselin, NJ

4.9
(37 ratings)

Catherine M.

Tutor Common Core, H.S. English, Algebra, & student w/disabilities

Staten Island, NY

5.0
(32 ratings)