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