#### Question

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

#### Solution

Let the two consecutive integers be x and x + 1.

From the given information,

x(x + 1) = 56

x^{2} + x – 56 = 0

(x + 8) (x – 7) = 0

x = -8 or 7

Thus, the required integers are – 8 and -7; 7 and 8.

Is there an error in this question or solution?

Solution The Product of Two Consecutive Integers is 56. Find the Integers. Concept: Quadratic Equations.