document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=328149>Question 328149</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following system of nonlinear equations?\r<BR>\n" );
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document.write( "y=x^4-2x^3-17x^2+4<BR>\n" );
document.write( "y=-3x^4-2x^3+20x^2-5<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #235023 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=235023\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E4-2x%5E3-17x%5E2%2B4=-3x%5E4-2x%5E3%2B20x%5E2-5 ALIGN=MIDDLE  ALT=\"x%5E4-2x%5E3-17x%5E2%2B4=-3x%5E4-2x%5E3%2B20x%5E2-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E4-37x%5E2%2B9=0 ALIGN=MIDDLE  ALT=\"4x%5E4-37x%5E2%2B9=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use a substitution.<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u=x%5E2 ALIGN=MIDDLE  ALT=\"u=x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u%5E2=x%5E4 ALIGN=MIDDLE  ALT=\"u%5E2=x%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4u%5E2-37u%2B9=0 ALIGN=MIDDLE  ALT=\"4u%5E2-37u%2B9=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284u-1%29%28u-9%29=0 ALIGN=MIDDLE  ALT=\"%284u-1%29%28u-9%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Two solutions in u:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4u-1=0 ALIGN=MIDDLE  ALT=\"+4u-1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4u=1 ALIGN=MIDDLE  ALT=\"+4u=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+u=1%2F4 ALIGN=MIDDLE  ALT=\"+u=1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2=1%2F4 ALIGN=MIDDLE  ALT=\"+x%5E2=1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight_green%28x=0+%2B-+1%2F2%29 ALIGN=MIDDLE  ALT=\"+highlight_green%28x=0+%2B-+1%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u-9=0 ALIGN=MIDDLE  ALT=\"u-9=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u=9 ALIGN=MIDDLE  ALT=\"u=9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=9 ALIGN=MIDDLE  ALT=\"x%5E2=9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28x=0+%2B-+3%29 ALIGN=MIDDLE  ALT=\"highlight_green%28x=0+%2B-+3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solve for y with each x using either equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28+x=1%2F2%29 ALIGN=MIDDLE  ALT=\"highlight%28+x=1%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%281%2F2%29%5E4-2%281%2F2%29%5E3-17%281%2F2%29%5E2%2B4=1%2F16-1%2F4-17%2F4%2B4=-7%2F16 ALIGN=MIDDLE  ALT=\"y=%281%2F2%29%5E4-2%281%2F2%29%5E3-17%281%2F2%29%5E2%2B4=1%2F16-1%2F4-17%2F4%2B4=-7%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=-7%2F16%29 ALIGN=MIDDLE  ALT=\"highlight%28y=-7%2F16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28+x=-1%2F2%29 ALIGN=MIDDLE  ALT=\"highlight%28+x=-1%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%281%2F2%29%5E4%2B2%281%2F2%29%5E3-17%281%2F2%29%5E2%2B4=1%2F16%2B1%2F4-17%2F4%2B4=1%2F16 ALIGN=MIDDLE  ALT=\"y=%281%2F2%29%5E4%2B2%281%2F2%29%5E3-17%281%2F2%29%5E2%2B4=1%2F16%2B1%2F4-17%2F4%2B4=1%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=1%2F16%29 ALIGN=MIDDLE  ALT=\"highlight%28y=1%2F16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28+x=3%29 ALIGN=MIDDLE  ALT=\"highlight%28+x=3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3%5E4-2%283%29%5E3-17%283%29%5E2%2B4=81-54-153%2B4=-122 ALIGN=MIDDLE  ALT=\"y=3%5E4-2%283%29%5E3-17%283%29%5E2%2B4=81-54-153%2B4=-122\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=-122%29 ALIGN=MIDDLE  ALT=\"highlight%28y=-122%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28+x=-3%29 ALIGN=MIDDLE  ALT=\"highlight%28+x=-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3%5E4%2B2%283%29%5E3-17%283%29%5E2%2B4=81%2B54-153%2B4=-14 ALIGN=MIDDLE  ALT=\"y=3%5E4%2B2%283%29%5E3-17%283%29%5E2%2B4=81%2B54-153%2B4=-14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=-14%29 ALIGN=MIDDLE  ALT=\"highlight%28y=-14%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );