Question

Find the roots of the equation by factoring.

Answer 1

Explanation:

hello :

9x²=64 means : 9x²-64 =64-64

9x²-64 =0

but : 9x²=(3x)² and 64 = 8²

use identity : a²-b² = (a-b)(a+b)

9x²-64 =0 means : (3x)²-8² = (3x-8)(3x+8)=0

3x-8=0 or 3x+8=0

3x=8 or 3x=-8

two roots : x= 8/3 or x= -8/3

Answer 2

See below

Explanation:

9x^2=64

Square root of both sides: 3x=8 and 3x=-8

Divide both sides by 3: x=8/3 and x=-8/3