Question 508462
Find two consecutive positive odd numbers given that difference between their reciprocals is 2\63
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Just eyeing the numbers, I'd guess 7 & 9.
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{{{1/x - 1/(x+2) = 2/63}}}
Multiply thru by x(x+2)
{{{(x+2) - x = (2x^2 + 4x)/63}}}
{{{2*63 = 2x^2 + 4x}}}
{{{x^2 + 2x - 63 = 0}}}
(x+9)*(x-7) = 0
x = 7 --> 7 & 9
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x = -9 --> -9 & -7