Solve the problem
-The sum of the squares of two consecutive even integers is 2452. Find the integers.
A) 34,36 or $- 34 , - 36$
B) $- 34 , - 36$
C) 34,36
D) $35 , - 37$

Question

Solve the problem
-The sum of the squares of two consecutive even integers is 2452. Find the integers. 
A) 34,36 or $- 34 , - 36$
B) $- 34 , - 36$
C) 34,36
D) $35 , - 37$

Quizplus · Accepted Answer

Let the two consecutive even integers be $x$ and $x+2$. Their squares are $x^2$ and $(x+2)^2$. The equation is $x^2 + (x+2)^2 = 2452$. Simplifying gives $2x^2 + 4x - 2448 = 0$, which simplifies to $x^2 + 2x - 1224 = 0$. Factoring or using the quadratic formula gives $x = 34$ or $x = -36$, so the integers are 34, 36 or -34, -36.

Solve the Problem -The Sum of the Squares of Two −34,−36- 34 , - 36−34,−36

Solve the Problem
-The Sum of the Squares of Two $- 34 , - 36$