document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=371470>Question 371470</A>: <I><SPAN STYLE=\"word-break: break-all;\"> PLEASE HELP ME!!\r<BR>\n" );
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document.write( "Find two numbers whose sum is 25 and the sum of whose reciprocals is 1/4. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #264614 by </B><A HREF=/tutors/aboutme.mpl?userid=amoresroy><B>amoresroy(361)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=amoresroy><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=amoresroy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=264614\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find two numbers whose sum is 25 and the sum of whose reciprocals is 1/4.\r<BR>\n" );
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document.write( "Let x = the 1st number \r<BR>\n" );
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document.write( "25-x  = the 2nd number\r<BR>\n" );
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document.write( "1/x + 1/(25-x)= 1/4<BR>\n" );
document.write( "multiply both sides by 4(x)(25-x)<BR>\n" );
document.write( "4(25-x) + 4x = x(25-x)<BR>\n" );
document.write( "100-4x  +4x  = 25x -x^2<BR>\n" );
document.write( "         100 = 25x - x^2<BR>\n" );
document.write( "x^2-25x+100  = 0<BR>\n" );
document.write( "solve by factoring<BR>\n" );
document.write( "(x-20)(x-5) = 0\r<BR>\n" );
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document.write( "x-20 = 0<BR>\n" );
document.write( "x    = 20\r<BR>\n" );
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document.write( "x-5  = 0<BR>\n" );
document.write( "x    = 5\r<BR>\n" );
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document.write( "The numbers are 20 & 5 </SPAN>\n" );
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