Solve the problem.
-The product of two consecutive integers is 11 more than their sum. Find the integers.
A) 3, 4 or -3, -2
B) 4, 5
C) -3, -2
D) 4, 5 or -3, -2

Question

Quizplus · Accepted Answer

The integers can be found by setting up the equation: n(n+1) = n + (n+1) + 11. Solving this gives n^2 + n = 2n + 12, which simplifies to n^2 - n - 12 = 0. Factoring gives (n-4)(n+3) = 0, so n = 4 or n = -3. The consecutive integers are 4, 5 or -3, -2.

Solve the Problem. -The Product of Two Consecutive Integers Is 11 More Than