Question

Which of the following are solutions to the quadratic equation? x^2 + 8x + 16 =7

Answer 1

E & F

Explanation:

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Answer 2

E and F

note that x² + 8x + 16 is a perfect square which factors as ( x + 4 )², thus

(x + 4 )² = 7 ( take the square root of both sides )

x + 4 = ± √7 ( note plus or minus )

subtract 4 from both sides )

x = ± √7 - 4

x = √7 - 4 → E

x = - √7 - 4 → F