# How do you solve the equation #absx=x^2#?

##### 2 Answers

#### Explanation:

We can rewrite the absolute value as

Solving for the first one we get

Solving for the second equation we get

So our answers are

Please see the explanation.

#### Explanation:

Given:

Rewrite equal zero:

Because the definition of the absolute value function is

Equation [1] breaks into two equations:

We can factor equation [2] and obtain two roots:

We can remove a factor of x from equation [3] but we must discard it because its root is not within the domain

We have 3 roots, -1, 0 and 1