Question

Can someone please explain the two solutions for the following equation?
x^2-9=0

Answer 1

9 is a perfect square because 9 = 3^2

Answer 2

so x^2-9 is really x^2-3^2

notice we have a difference of squares

Answer 3

So we factor the left side using the difference of squares formula

x^2-9=0

x^2-3^2=0

(x-3)(x+3) = 0

what's next?

Answer 4

you dont get it..?

Answer 5

also, if you look at the graph. The solutions for this quadratic is your x intercepts.