Question

Solve the equation for all values of x in simplest form (x + 3)^2 = -16

Answer 1

x = -7 or x = 1

Explanation:

Given expression:

(x + 3)² = -16

Problem;

Solve for x;

Solution:

To solve for x; we use the factorization method;

Take -16 to the left of the equation;

(x + 3)² = -16

(x + 3)² + 16 = 0

(x+ 3)² + 4² = 0

if x² + y² = (x + y)(x - y)

So;

(x + 3 + 4) (x + 3 - 4) = 0

(x + 7)(x - 1) = 0

x + 7 = 0 or x - 1 = 0

x = -7 or x = 1