document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1062359>Question 1062359</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The system of equations I need to solve is:<BR>\n" );
document.write( "7x - 8y = 24<BR>\n" );
document.write( "xy^2 = 1\r<BR>\n" );
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document.write( "In the second, it's not (xy)^2, but just the y is squared. I get to substitution and replace y in the second equation with y = (7/8)x + 3 and end up with (23/32)x^3 + (21/4)x^2 + 9x - 1 = 0. My professor warned that this problem is pure evil and said at this point I would need to use rational root theorem and that there IS a rational root. Issue is I don't know how to find a rational root from a fraction as a leading coefficient (23/32).... Unless I screwed up before that and that's not what I'm looking at. \r<BR>\n" );
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document.write( "Any help to get me beyond this point will be greatly appreciated.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #677253 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=677253\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The system of equations I need to solve is:<BR>\n" );
document.write( "7x - 8y = 24<BR>\n" );
document.write( "xy^2 = 1 <BR>\n" );
document.write( "In the second, it's not (xy)^2, but just the y is squared. I get to substitution and replace y in the second equation with y = (7/8)x + 3 and end up with (23/32)x^3 + (21/4)x^2 + 9x - 1 = 0.<BR>\n" );
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document.write( "7x - 8y = 24 --> y = (7/8)x -3  ***  not +3<BR>\n" );
document.write( "x*(7x/8 - 3)^2 - 1 = 0<BR>\n" );
document.write( "x*(49x^2/64 - 21x/32 + 9) -1 = 0<BR>\n" );
document.write( "49x^3/64 - 21x^2/32 + 9x - 1 = 0<BR>\n" );
document.write( "Multiply by 64<BR>\n" );
document.write( "49x^3 - 42x^2 + 576x - 64 = 0<BR>\n" );
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document.write( "The only real root I see is ~ 0.111905 (by graphing)\r<BR>\n" );
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