The product of two consecutive integers is 56

Question

Put it into an equation and then solve the factor

Answer 1

OK. Two consecutive integers. Whenever you see that, call them n and n+1.

 

In this case their product is 56.

 

n (n + 1) = 56

n² + n = 56

n² + n - 56 = 0

 

The quadratic formula says

n = (-1 +/- √225) / 2 = (-1 +/- 15) / 2

 

Or, n=-8 or 7 - meaning n+1 is -7 or 8.