SOLUTION: The sum of the squares of two consecutive positive even numbers is 52. What is the smaller number?

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Question 312118: The sum of the squares of two consecutive positive even numbers is 52. What is the smaller number?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
x^2+(x+2)^2=52
x^2+x62+4x+4=52
2x62+4x+4-52=0
2x^2+4x-48=0
2(x^2+2x-24)=0
2(x+6)(x-4)=0
x+6=0
x=-6 ans.
x-4=0
x=4 ans.
Proof:
-6^2+(-6+2)^2=52
36-4^2=52
36+16=52
52=52
4^2+(4+2)^2=52
16+6^2=52
16+36=52
52=52