SOLUTION: find two consecutive positive even numbers such that the sum of their squares is 164.

SOLUTION: find two consecutive positive even numbers such that the sum of their squares is 164.

Algebra.Com

Question 233185: find two consecutive positive even numbers such that the sum of their squares is 164.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
8 and 10
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Do I need to work it out?
x^2 + (x+2)^2 = 164
2x^2 + 4x + 4 = 164
x^2 + 2x - 80 = 0
(x-8)*(x+10) = 0
x = 8
x+2 = 10

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