Question

Find solutions to the equation below. Check all that apply.

16x^2-64=0
A. X=-4
B. X=2
C. X=-64
D. X=-8
E. X=4
F. X=-2

Answer 1

B and F

2, -2

Explanation:

`16x^(2) -64=0`

Add 64 to both sides.

`16x^(2) -64+64=0+64`

Simplify

`16x^(2) =64`

Divide both sides by 16.

`(16x^(2) )/(16) =(64)/(16)`

Simplify

`x^(2) =4`

`x=√(4) ,-√(4)`

Simplify

`x=2,-2`

Answer 2

16x^2 - 64 = 0

16x^2 = 64

x^2 = 64/16

x^2 = 4

sqrt{x^2} = sqrt{4}

x = -2, x = 2

Answer: B and F