document.write( "Question 508462: Find two consecutive positive odd numbers given that difference between their reciprocals is 2\63 \n" ); document.write( "

Algebra.Com's Answer #341007 by Alan3354(69443) $\"\"$ $\"About$

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Find two consecutive positive odd numbers given that difference between their reciprocals is 2\63
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\n" ); document.write( "Just eyeing the numbers, I'd guess 7 & 9.
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\n" ); document.write( " $\"1%2Fx+-+1%2F%28x%2B2%29+=+2%2F63\"$
\n" ); document.write( "Multiply thru by x(x+2)
\n" ); document.write( " $\"%28x%2B2%29+-+x+=+%282x%5E2+%2B+4x%29%2F63\"$
\n" ); document.write( " $\"2%2A63+=+2x%5E2+%2B+4x\"$
\n" ); document.write( " $\"x%5E2+%2B+2x+-+63+=+0\"$
\n" ); document.write( "(x+9)*(x-7) = 0
\n" ); document.write( "x = 7 --> 7 & 9
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\n" ); document.write( "x = -9 --> -9 & -7
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