Question

Find the solution to the following equation by transforming it into a perfect square trinomial.

3x2 + 24x = 27

Answer 1

3x2 + 24x - 27 = 0
3(x2 + 8x - 9) = 0
x2 + 8x - 9 = 0
(x2 + 8x +____) - 9 = 0
To figure out what goes in the ____ take 1/2 * 8 and square it. That's 4^2 or 16
(x2 + 8x +16) - 9 -16 = 0
(x + 4)2 - 25 = 0
(x + 4)2 = 25
x + 4 = 5 or x + 4 = -5
x = -1 or x = -9

Answer 2

Thanks babe