Now that you have x² - 8x + 16 = 9 + 16, apply the square root property to the equation.

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Answer
Hi,

a) x² +8x + 16 = 7

(x + 4)² = 7

Take the square root of both sides, remembering the ± sign on the right.

√(x + 4)² = ±√7

x + 4 = ±√7

x = -4 ± √7 <==ANSWER

b) x² -6x +9 = 8

(x - 3)² = 8

√(x - 3)² = ±√8

x - 3 = ±2√2

x = 3 ± 2√2 <==ANSWER