document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=789857>Question 789857</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the sum of the reciprocals of two consecutive even integers is 9/40. what are 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 #806167 by </B><A HREF=/tutors/aboutme.mpl?userid=CubeyThePenguin><B>CubeyThePenguin(3113)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CubeyThePenguin><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/cgi-bin/show-face.mpl?user=CubeyThePenguin><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=806167\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> consecutive even integers: x, (x+2)\r<BR>\n" );
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document.write( "1/x + 1/(x+2) = 9/40<BR>\n" );
document.write( "(2x + 2)/(x(x+2)) = 9/40<BR>\n" );
document.write( "40(2x + 2) = 9(x(x+2))<BR>\n" );
document.write( "80x + 80 = 9x^2 + 18x<BR>\n" );
document.write( "0 = 9x^2 - 62x - 80<BR>\n" );
document.write( "0 = (x - 8)(9x + 10)<BR>\n" );
document.write( "x = 8, x = -10/9\r<BR>\n" );
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document.write( "x must be an integer, so the integers are 8 and 10. </SPAN>\n" );
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