Answer:
Explanation:
x^2 = 5x + 24 Transfer (subtract) 5x + 24 to the left.
x^2 - 5x - 24 = 5x-5x+24 -24
x^2 - 5x - 24 = 0 This does factor. -8 and 3 are your factors.
(x - 8)*(x + 3) = 0
So if x - 8 = 0
then x - 8 + 8 = 0 + 8
x = 8
If x + 3 = 0
then x = - 3
Are these both correct?
x^2 = 5x + 24
x = 8
8^2 = 5*8 + 24
64 = 40 + 24
64 = 64
and x - 8 is a factor
x^2 = 5x + 24
x = - 3
(-3)^2 = 5 * -3 + 24
9 = -15 + 24
9 = 9
And x + 3 is a correct factor