The area of the parallelogram is equal to .
Calculate x.
The area of the parallelogram is equal to .
Calculate x.
The problem requires calculating the value of from the expression given for the area of a parallelogram: .
Recognize that the expression can be expanded using the identity for the difference of squares:
Thus, it simplifies to:
Understanding from the problem that this represents the area of the parallelogram, and after setting it equal to zero:
To solve for , add 9 to both sides to isolate :
Take the square root of both sides, remembering that squaring gives two solutions:
Thus, the solutions for are and .
Therefore, the value of is .
Therefore, the solution to the problem is .