Question

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 1

Let's solve for x,

`\text{ (x + 6)}^2\text{ = 64}`

We get,

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

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

The answer is letter C.