The sum of the squares of two consecutive integers is 61. Find the integers.
A) $5 , - 6$
B) 5,6 or $- 5 , - 6$
C) 5,6
D) $- 5 , - 6$

Name: The sum of the squares of two consecutive integers is 61. Find the integers. A) $5 , - 6$ B) 5,6 or $- 5 , - 6$ C) 5,6 D) $- 5 , - 6$
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Question

The sum of the squares of two consecutive integers is 61. Find the integers. 
A) $5 , - 6$
B) 5,6 or $- 5 , - 6$
C) 5,6
D) $- 5 , - 6$

Quizplus · Accepted Answer

The equation for the sum of the squares of two consecutive integers $n$ and $n+1$ is $n^2 + (n+1)^2 = 61$. Solving this equation gives two sets of integers: 5 and 6, or -5 and -6, which matches option B.

The Sum of the Squares of Two Consecutive Integers Is 5,−65 , - 65,−6

The Sum of the Squares of Two Consecutive Integers Is $5 , - 6$