document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=509995>Question 509995</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you help with this question?\r<BR>\n" );
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document.write( "A number added to its reciprocal is 5/2. What is the number? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #341683 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=341683\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A number added to its reciprocal is 5/2. What is the number?<BR>\n" );
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document.write( "Let x = the number<BR>\n" );
document.write( "then<BR>\n" );
document.write( "1/x = the reciprocal<BR>\n" );
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document.write( "x + 1/x = 5/2<BR>\n" );
document.write( "multiplying both sides 2x:<BR>\n" );
document.write( "2x^2 + 2 = 5x<BR>\n" );
document.write( "2x^2 -5x + 2 = 0<BR>\n" );
document.write( "2x^2 -4x -x + 2 = 0<BR>\n" );
document.write( "(2x^2 -4x) - (x - 2) = 0<BR>\n" );
document.write( "2x(x - 2) - (x - 2) = 0<BR>\n" );
document.write( "(x - 2)(2x - 1) = 0<BR>\n" );
document.write( "x = {2, 1/2}<BR>\n" );
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document.write( "Answer can be 2 or 1/2\r<BR>\n" );
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document.write( " </SPAN>\n" );
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