Question

What values of x make the equation true?

(x - 2)2 – 16 = 0

A)x = -2 or x = 6
B)x = -6 or x = 2
C) x = -2 or x = -6
D) X = 6 or x = 2

Answer 1

Explanation:

(x - 2) 2 - 16 =0

2 - 16 (x - 2) =0

2x - 16x - 4 + 32 = 0

2x - 16x = 0 + 4 - 32

-14x = -28

x = -28/-14

x = 2

Double Checking Answer:

2 - 16 (2 - 2)

2 - 16 (0)

=0

OR

2 - 16 × (2 - 2)

4 - 32 - 4 + 32

= 0

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