Answered

solve (x + 6)² = 64A) x = 8 or x = -8B) x = 2 or x = -2C) x = 2 or x = -14D) x = 4 or x = -16

Answer :

Let's solve for x,

[tex]\text{ (x + 6)}^2\text{ = 64}[/tex]

We get,

[tex]\text{ (x + 6)}^2\text{ = 64}[/tex][tex]\text{ }\sqrt{\text{(x + 6)}^2}\text{ = }\sqrt{\text{64}}[/tex][tex]\text{ x + 6 = }\pm\text{ 8}[/tex][tex]\text{ x = }\pm\text{ 8 - 6}[/tex][tex]\text{ x}_1\text{ = 8 - 6 = 2}[/tex][tex]\text{ x}_2\text{ = -8 - 6 = -14}[/tex]

Therefore, the answer is x = 2 or x = -14.

The answer is letter C.

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