Question

What are the solutions to the quadratic equation 4x2 = 64? A. x = −16 and x = 16 B.x = −8 and x = 8 C.x = −4 and x = 4 D.x = −2 and x = 2

Answer 1

`\boxed{\boxed{x=\pm 4}}`

Explanation:

`4x^2 = 64`

Divide both sides by 4.

`(4x^2)/4 = 64/4`

Simplify.

`x^2 =16`

Take the square root on both sides.

`√(x^2 ) =\pm √(16)`

Simplify.

`x=\pm 4`

Answer 2

x = ±4

Explanation:

4x^2 = 64

Divide each by 4

4x^2 /4= 64/4

x^2 = 16

Take the square root of each side

sqrt(x^2) = ±sqrt(16)

x = ±4