Question

Which of the following are solutions to the equation below? Check all that apply.
9x2 – 64 = 0

Answer 1

8/3 and -8/3

Explanation:

Answer 2

x= 8/3 and x= -8/3

Explanation:

Remember the difference of two squares method

a²- b²= (a+b) (a-b)

Given;

9x²-64=0

We notice 9 and 64 are in square form thus can be written as

(3x-8) (3x+8)....................................applying the difference in squares method to simplify

Solving for x

(3x-8) (3x+8) =0

3x-8=0

3x=8

x= 8/3

or

3x+8=0

x= -8/3