Question

How to solve this modulus function:
|x^2 - 4| = x+2
and how to do the checking

Answer 1

x = 3

x = - 2

3^2 -4 = 3 + 2

9 - 4 = 5

5 = 5

-2^2 - 4 = - 2 + 2

4 - 4 = -2 + 2

0 = 0

Explanation:

x^2 -4 = x + 2

x^2 - 4 -x - 2 = 0

x^2 - x - 6 = 0

-3 * 2 = 6 (independent term)

-3 +2 = -1 (coefficient of x)

= (x - 3) (x + 2)

x - 3 = 0. x = 3

x + 2 = 0. x = -2