The product of two consecutive integers in 72. The equation x (x + 1) = 72

8,9

or

-9,-8

Step-by-step explanation:

x (x + 1) = 72

Distribute

x^2 + x = 72

Subtract 72 from each side

x^2 + x - 72 = 0

Factor

(x-8) (x+9) = 0

Using the zero product property

x-8=0 x+9 = 0

x-8+8=0+8 x+9-9=0-9

x=8 or x=-9

1st case: x=8, x+1 = 9

2nd case: x=-9, x+1 = - 8