Respuesta :
Answer:
x = 3, -3
Step-by-step explanation:
To find the roots, or solutions/zeros to this problem first you need to factor the quadratic equation.
In its factored form it looks like this:
(x + 3)(x - 3)
Make both of these factors equal to 0 to find the roots.
(x + 3) = 0
- Subtract 3 from both sides... x = -3.
(x - 3) = 0
- Add 3 to both sides... x = 3.
The roots of this quadratic equation are 3 and -3.
There are 2 ways to do this.
1) First you need to factor x² - 9.
x² - 9 = (x + 3 )(x - 3)
So x = -3, 3.
2) Let x² - 9 = 0
So then add 9 to both sides and you'll get:
x² = 9
Square root both sides and you'll get:
x = ± 3 (Which is the same thing for -3, 3)