The sum of the squares of two consecutive odd integers is 1154. Find the integers.
A) $23 , - 25$
B) 23,25
C) $- 23 , - 25$
D) 23,25 or $- 23 , - 25$

Question

The sum of the squares of two consecutive odd integers is 1154. Find the integers. 
A) $23 , - 25$
B) 23,25
C) $- 23 , - 25$
D) 23,25 or $- 23 , - 25$

Quizplus · Accepted Answer

The sum of the squares of two consecutive odd integers can be represented as $n^2 + (n+2)^2 = 1154$. Solving this equation, we find $n = 23$ or $n = -25$, which means the pairs of integers are either 23 and 25 or -23 and -25.

The Sum of the Squares of Two Consecutive Odd Integers 23,−2523 , - 2523,−25

The Sum of the Squares of Two Consecutive Odd Integers $23 , - 25$