document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=502957>Question 502957</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the reciprocals of two consecutive even integers a and b is \r<BR>\n" );
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document.write( "9/40\r<BR>\n" );
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document.write( ". Find the integers.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #339024 by </B><A HREF=/tutors/aboutme.mpl?userid=jrb1965><B>jrb1965(16)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jrb1965><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=339024\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a and b are two consecutive even integers so b = a + 2\r<BR>\n" );
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document.write( "1/a + 1/(a+2) = 9/40\r<BR>\n" );
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document.write( "Multiply all terms by (a+2)* a * 40\r<BR>\n" );
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document.write( "40(a+2) + 40a = 9(a+2)a\r<BR>\n" );
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document.write( "40a + 80 + 40a = 9a^2 + 18a\r<BR>\n" );
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document.write( "Rearrange to the quadratic <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9a%5E2+-+62a+-+80+=+0 ALIGN=MIDDLE  ALT=\"9a%5E2+-+62a+-+80+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "a = 8<BR>\n" );
document.write( "b = 10 </SPAN>\n" );
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