Solve the problem.
-The product of two consecutive integers is 29 more than their sum. Find the integers.
A) -5, -4
B) 6, 7 or -5, -4
C) 6, 7
D) 5, 6 or -5, -4

Question

Quizplus · Accepted Answer

Let the two consecutive integers be $x$ and $x+1$. The equation based on the given information is $x(x + 1) = x + (x + 1) + 29$. Simplifying gives $x^2 + x = 2x + 30$, which simplifies further to $x^2 - x - 30 = 0$. Factoring the quadratic equation gives $(x - 6)(x + 5) = 0$, leading to $x = 6$ or $x = -5$. Therefore, the pairs of integers are $6, 7$ and $-5, -4$.

Solve the Problem. -The Product of Two Consecutive Integers Is 29 More Than