Answer:
x = 10 and x = (-2) are the solutions.
Explanation:
In the given equation (x - 4)² - 28 = 8
we will first find the zero factors which will further decide the number of solutions.
(x -4)² - 28 = 8
(x - 4)² -28 - 8 = 8 - 8 (By subtracting 8 on both the sides of the equation)
(x - 4)² - 36 = 0
(x - 4)²- 6² = 0
(x - 4 - 6)(x - 4 + 6) = 0
(x - 10)(x + 2) = 0
Now the equation only two zero factors or two solutions.
x = 10 and x = -2
Answer is two solutions only x = 10 and x = (-2)