Answer:
x = 3/8
Step-by-step explanation:
The difference of the two squares can be found several ways. One way uses the "difference of squares" special form.
a² -b² = (a -b)(a +b)
For the given squares, this is ...
(2x +3)² -(2x -3)² = ((2x +3)-(2x -3))((2x +3) +(2x -3)) = 6(4x) = 24x
We want to find x that makes this difference be 9:
24x = 9
x = 9/24 = 3/8
For the value x = 3/8, the difference between the squares of the binomials will be 9.
