Question

The product of two consecutive integers is 56. Find the integers.

Answer 1

Let the two consecutive integers be x and x + 1.
From the given information,
x(x + 1) = 56
x2 + x – 56 = 0
(x + 8) (x – 7) = 0
x = -8 or 7
Thus, the required integers are – 8 and -7; 7 and 8.