Question

Solve 9x^2 - 100 = 0

Answer 1

I'll start you off: \(9x^2 - 100 = 0 \Rightarrow x^2 = \dfrac{100}{9}\).

Answer 2

a^2-b^2= (a-b)(a+b)

Answer 3

^That is a valid technique as well.

Answer 4

So what would I do after 100/9?

Answer 5

@Brookebrookiee If you are going with x^2 = 100/9, then take square roots of both sides.

I usually go this route:

a^2-b^2= (a-b)(a+b)

9x^2 - 100 = (3x + ?)*(3x - ?) = 0

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

After factoring, set each factor to zero and solve for x.