Question 79243
how do i find two consecutive positive integers such that the sum of their squares is 85?
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The consecutive integers are "x" and "x+1".
EQUATION:
x^2+(x+1)^2=85
x^2+x^2+2x+1=85
2x^2+2x+1=85
2x^2+2x=84
x^2+x=42
x^2+x-42=0
(x+7)(x-6)=0
The only positive answer is x=6; then x+1=7
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Cheers,
Stan H.