Question

What positive value of x makes the following equation true: x²=64? Explain

Answer 1

x² = 64

Subtract 64 from both sides.

x² - 64 = 0

Consider x²−64. Rewrite x²−64 as x²−8². The difference of squares can be factored using the rule: a²-b²==(a−b)(a+b).

(x−8)(x+8)=0

To find equation solutions, solve x−8=0 and x+8=0.

x=8

x=−8

Skandar