SOLUTION: Find two consecutive positive odd numbers such that the sum of their squares is 74

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Question 1042647: Find two consecutive positive odd numbers such that the sum of their squares is 74
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
let x be first odd integer, then x+2 is the next one
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x^2 +(x+2)^2 = 74
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x^2 +x^2+4x+4 = 74
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2x^2 +4x -70 = 0
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x^2 +2x -35 = 0
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(x+7) * (x-5) = 0
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x = -7 and x = 5
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we want x = 5 because x > 0 and x+2 > 0
Our two consecutive positive odd numbers are 5 and 7
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note that 5^2 + 7^2 = 25 + 49 = 74
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