document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=762740>Question 762740</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the reciprocals of 2 consecutive odd integers is 16/63. Find the numbers.\r<BR>\n" );
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document.write( "I was thinking that the equation was 1/x + 1/x+2= 16/63\r<BR>\n" );
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document.write( "Not sure if this is correct.<BR>\n" );
document.write( "Please help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #464161 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=464161\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  The sum of the reciprocals of 2 consecutive odd integers is 16/63. Find the numbers. <BR>\n" );
document.write( "I was thinking that the equation was 1/x + 1/x+2= 16/63 <BR>\n" );
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document.write( "1st odd number: x-1<BR>\n" );
document.write( "2nd odd number: x+1<BR>\n" );
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document.write( "1/(x-1) + 1/(x+1) = 16/63<BR>\n" );
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document.write( "Multiply thru by 63(x-1)(x+1) to get:<BR>\n" );
document.write( "63(x+1) + 63(x-1) = 16(x^2-1)<BR>\n" );
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document.write( "126x = 16x^2 - 16<BR>\n" );
document.write( "16x^2 - 126x - 16 = 0<BR>\n" );
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document.write( "8x^2 - 63x - 8 = 0<BR>\n" );
document.write( "(x-8)(8x+1) = 0<BR>\n" );
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document.write( "Whole number solution:<BR>\n" );
document.write( "x = 8<BR>\n" );
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document.write( "1st odd number: 2x-1 = 15<BR>\n" );
document.write( "2nd odd number: 2x+1 = 17<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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