document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=328160>Question 328160</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-x^2+2x-1\r<BR>\n" );
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document.write( "y=x^4+3x^2+2x-2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #235034 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=235034\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the following system of nonlinear equations<BR>\n" );
document.write( "y = x^4 - x^2 + 2x - 1<BR>\n" );
document.write( "y = x^4 +3x^2 + 2x - 2<BR>\n" );
document.write( "Therefore<BR>\n" );
document.write( "x^4 +3x^2 + 2x - 2 = x^4 - x^2 + 2x - 1<BR>\n" );
document.write( "Combine like terms<BR>\n" );
document.write( "x^4 - x^4 + 3x^2 + x^2 + 2x - 2x = -1 + 2<BR>\n" );
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document.write( "4x^2 = 1<BR>\n" );
document.write( "x^2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = +/-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%281%2F4%29 ALIGN=MIDDLE  ALT=\"sqrt%281%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = +/-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or +/-.5<BR>\n" );
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document.write( "Find y using the 1st equation, x=+.5<BR>\n" );
document.write( "y = .5^4 - .5^2 + 2(.5) - 1<BR>\n" );
document.write( "y = .0625 - .25 + 1 - 1<BR>\n" );
document.write( "y = -.1875<BR>\n" );
document.write( "One solution: x=.5, y=-.1875<BR>\n" );
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document.write( "Find y using the 1st equation, x=-.5<BR>\n" );
document.write( "y = -.5^4 - (-.5^2) + 2(-.5) - 1<BR>\n" );
document.write( "y = .0625 - .25 - 1 - 1<BR>\n" );
document.write( "y = -2.1875<BR>\n" );
document.write( "A 2nd solution: x=-.5, y = -2.1875<BR>\n" );
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document.write( "I'll let you check the solutions in the 2nd equation </SPAN>\n" );
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