document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=808593>Question 808593</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of a positive real number and six times its reciprocal is equal to its cube.  What is the square of 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 #487089 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=487089\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let the number be x\r<BR>\n" );
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document.write( "x + (6/x) = x^3\r<BR>\n" );
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document.write( "(x^2+6)/x=x^3\r<BR>\n" );
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document.write( "x^2+6=x^4\r<BR>\n" );
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document.write( "x^4-x^2-6=0\r<BR>\n" );
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document.write( "x^4-3x^2+2x^2-6=0\r<BR>\n" );
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document.write( "x^2(x-3)+2x(x-3)=0\r<BR>\n" );
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document.write( "(x^2-3)(x^2+2x)=0<BR>\n" );
document.write( "x(x^2-3)(x+2)=0\r<BR>\n" );
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document.write( "x=0, x= +/- sqrt(3) x=-2\r<BR>\n" );
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document.write( "You can find the squares\r<BR>\n" );
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document.write( " </SPAN>\n" );
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