Question

PLEASE HELP!!! Can someone help me figure this out

Answer 1

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