Answer:
The value of <em>x</em> are -11 and -1.
Step-by-step explanation:
The quadratic equation is:
2 (x + 6)² - 5 = 45
Compute the value of <em>x</em> as follows:
2 (x + 6)² - 5 = 45
2 (x + 6)² = 50
(x + 6)² = 25
x² + 12x + 36 = 25
x² + 12x + 11 = 0
x² + 11x + x + 11 = 0
x (x + 11) + 1 (x + 11) = 0
(x + 11) (x + 1) = 0
If (x + 11) = 0, then <em>x</em> = -11.
If (x + 1) = 0, then <em>x</em> = -1.
Thus, the value of <em>x</em> are -11 and -1.
