How do you solve the equation #absx=x^2#?
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.
Rewrite equal zero:
Because the definition of the absolute value function is
Equation  breaks into two equations:
We can factor equation  and obtain two roots:
We can remove a factor of x from equation  but we must discard it because its root is not within the domain
We have 3 roots, -1, 0 and 1