SOLUTION: The sum of the squares of two consecutive positive odd numbers is 650 . Find the numbers

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Question 252354: The sum of the squares of two consecutive positive odd numbers is 650 . Find the numbers
Answer by Alan3354(69443) About Me  (Show Source):
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The sum of the squares of two consecutive positive odd numbers is 650 . Find the numbers
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The easy way:
650/2 = 325
sqrt(325) =~ 18
--> 17 and 19
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The hard way:
x^2 + (x+2)^2 = 650
2x^2 + 4x + 4 = 650
x^2 + 2x - 323 = 0
(x-17)*(x+19) = 0
x = 17
--> 17 & 19