Question

y^2-12y+36=9
what are the exact solutions

Answer 1

y^2 -12y + 36 = 9

y^2 -12y + 36 is a perfect square trinomial.

It factors as (y - 6) * (y - 6) or (y - 6)^2

so (y - 6)^2 = 9
(y - 6)^2 = 3^2

Taking square roots of both sides,

y - 6 = 3 or y - 6 = -3

y = 3 +6 or y = -3 + 6

y = 9 or y = 3 ---> exact solutions

We could have used the Quadratic Formula.

Or, we could have factored after collecting all terms on one side.

If you prefer one of those, I can help you get the same answers using one of those techniques. See what you think.

Answer 2

Question?

Answer 3

Thanks so much but I am stuck in other areas right now