Answer:
x = 8, x = -8
Step-by-step explanation:
Hello!
We can use the Difference of Squares Formula: [tex](a + b)(a - b) = a^2 - b^2[/tex]
We need the two terms to be perfect squares for this formula to work, and subtraction has to be the operation. As you can see x² is a square of x, and 64 is the square of 8.
Solve:
- x² - 64 = 0
- (x + 8)(x - 8) = 0
Set each factor to zero. (Zero Product Property)
And
The solutions are x = 8, and x = -8.
