document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1209897>Question 1209897</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let x and y be real numbers satisfying<BR>\n" );
document.write( "\frac{x^2y^2 - 1}{2y - 1} = 4x + y.<BR>\n" );
document.write( "Find the largest possible value of x. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #851019 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52786)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=851019\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Let x and y be real numbers satisfying<BR>\n" );
document.write( "\frac{x^2y^2 - 1}{2y - 1} = 4x + y.<BR>\n" );
document.write( "Find the largest possible value of x.<BR>\n" );
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document.write( "Use free of charge plotting tool DESMOS at web-site www.desmos.com/calculator\r<BR>\n" );
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document.write( "Print your equation in the calculator window.\r<BR>\n" );
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document.write( "It will show the plot instantly.\r<BR>\n" );
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document.write( "On the plot, click on the curve where you see the maximum in x.\r<BR>\n" );
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document.write( "The coordinate of this point is about x = 4.45252.\r<BR>\n" );
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document.write( "It is an approximate answer to the problem's question.\r<BR>\n" );
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document.write( "See my plot at this link\r<BR>\n" );
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document.write( "https://www.desmos.com/calculator/lqcjy9a296\r<BR>\n" );
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document.write( "Solved.\r<BR>\n" );
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document.write( "In his post, &nbsp;@CPhill gives &nbsp;\" the final answer \"  &nbsp;&nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2817%2Bsqrt%28273%29%29%2F8 ALIGN=MIDDLE  ALT=\"%2817%2Bsqrt%28273%29%29%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "This answer is incorrect, &nbsp;since its numerical value is &nbsp;4.190339,<BR>\n" );
document.write( "&nbsp;while the correct answer is close to &nbsp;4.45252.\r<BR>\n" );
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document.write( "So, &nbsp;once again @CPhill is deceiving readers.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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