document.write( "Question 210352: Two consecutive odd integers have a product of 99. Find all sets of integers that satisfy this description. \n" ); document.write( "

Algebra.Com's Answer #158956 by stanbon(75887) $\"\"$ $\"About$

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Two consecutive odd integers have a product of 99. Find all sets of integers that satisfy this description.
\n" ); document.write( "-----------------
\n" ); document.write( "1st: 2x-1
\n" ); document.write( "2nd: 2x+1
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\n" ); document.write( "Equation:
\n" ); document.write( "(2x-1)(2x+1) = 99
\n" ); document.write( "4x^2-1 = 99
\n" ); document.write( "4x^2 = 100
\n" ); document.write( "x^2 = 25
\n" ); document.write( "x = 5 or -5
\n" ); document.write( "-----------------
\n" ); document.write( "If x = 5,
\n" ); document.write( "2x-1 = 9
\n" ); document.write( "2x+1 = 11
\n" ); document.write( "-----------------
\n" ); document.write( "If x = -5,
\n" ); document.write( "2x-1 = -11
\n" ); document.write( "2x+1 = -9
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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