document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=294980>Question 294980</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find two consecutive even integers such that the sum of the first and the reciprocal of the second is 9/4.<BR>\n" );
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document.write( "This problem we are to come up with the formula and write it out as if we were teaching someone how to do it. \r<BR>\n" );
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document.write( "So far I think it should look like this (but not really sure):<BR>\n" );
document.write( "1/x+1/x+1=9/4. If I am going in the right direction, I can complete the problem. Im just not sure this is how to set it up. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #212654 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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=212654\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1/x+1/x+1=9/4<BR>\n" );
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document.write( "Let x & (x+2) be the 2 consecutive EVEN integers.<BR>\n" );
document.write( "The reciprocal of the second integer is 1/(x+2)<BR>\n" );
document.write( "x+1/(x+2)=9/4<BR>\n" );
document.write( "Find the common denominator for the left side terms.<BR>\n" );
document.write( "[x(x+2)+1]/(x+2)=9/4<BR>\n" );
document.write( "[x^2+2x+1)/(x+2)=9/4<BR>\n" );
document.write( "Cross multiply.<BR>\n" );
document.write( "4(x^2+2x+1)=9(x+2)<BR>\n" );
document.write( "4x^2+8x+4=9x+18<BR>\n" );
document.write( "4x^2+8x-9x+4-18=0<BR>\n" );
document.write( "4x^2-x-14=0<BR>\n" );
document.write( "(4x+7)(x-2)=0<BR>\n" );
document.write( "x-2=0<BR>\n" );
document.write( "x=2 ans. for the first even integer.<BR>\n" );
document.write( "2+2=4 ans. for the second even integer.<BR>\n" );
document.write( "Proof:<BR>\n" );
document.write( "2+1/(2+2)=9/4<BR>\n" );
document.write( "2+1/4=9/4<BR>\n" );
document.write( "8/4+1/4=9/4<BR>\n" );
document.write( "9/4=9/4<BR>\n" );
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