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.