Question

What values of x satisfy x 2 + 2 x = 24?

- 6, - 4

- 6, 4

6, - 4

6, 4

Answer 1

x = -6 x=4

Explanation:

x^ 2 + 2 x = 24

Subtract 24 from each side

x ^2 + 2 x-24 = 24-24

x^2 +2x -24 = 0

Factor

What 2 numbers multiply to -24 and add to 2

6*-4 = -24

6+-4 = -2

(x+6) (x-4) =0

Using the zero product property

x+6 =0 x -4=0

x+6-6=0-6 x-4+4=0+4

x = -6 x=4