Answer:
x= 8/3 and x= -8/3
Step-by-step 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