Question 390358: Find two consecutive even integers such that the sum of their squares is 52 Found 2 solutions by user_dude2008, richard1234:Answer by user_dude2008(1862) (Show Source):
You can put this solution on YOUR website! (2x)^2+(2x+2)^2=52
4x^2+4x^2+8x+4=52
4x^2+4x^2+8x+4-52=0
8x^2+8x-48=0
8(x^2+x-6)=0
8(x+3)(x-2)=0
x+3=0 or x-2=0
x=-3 or x=2
You can put this solution on YOUR website! This is kind of a guess and check problem since you know the integers are consecutive and even. It is easy to check that . Note that (-6, -4) also works.