Solve the problem.
-The product of two consecutive integers is 2 less than 2 times their sum. Find the integers.
A) 3,4
B) 0,1
C) 0,1 or 4,5
D) 0,1 or 3,4

Question

Quizplus · Accepted Answer

Let the consecutive integers be $x$ and $x+1$. Their product is $x(x+1)$ and their sum is $x+(x+1)=2x+1$. The equation is $x(x+1)=2(2x+1)-2$. Simplifying gives $x^2+x=4x$, leading to $x^2-3x=0$, which factors to $x(x-3)=0$. Thus, $x=0$ or $x=3$, giving the pairs (0,1) and (3,4).

Solve the Problem. -The Product of Two Consecutive Integers Is 2 Less Than