Question

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

Answer 1

Answer:

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