document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=299957>Question 299957</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This is a non-linear system<BR>\n" );
document.write( "  It says solve this sytem two ways: 1. Algebraically<BR>\n" );
document.write( "                                     2. Graphically\r<BR>\n" );
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document.write( " Problem:    x^2+Y^2=4<BR>\n" );
document.write( "             x+y=4        \r<BR>\n" );
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document.write( "I used the substitution method and got this\r<BR>\n" );
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document.write( " original problem:<BR>\n" );
document.write( "         x^2+y^2=4    <BR>\n" );
document.write( "          x+y=4  <BR>\n" );
document.write( "                  x+y=4        <BR>\n" );
document.write( "                 -x  =-x<BR>\n" );
document.write( "                  y=4-x\r<BR>\n" );
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document.write( "                   x^2+(4-x)^2=4<BR>\n" );
document.write( "                   x^2+16-8x+x^2-4=0<BR>\n" );
document.write( "                   2x^2-8x+12=0<BR>\n" );
document.write( "                   2(x^2-4x+6)=0\r<BR>\n" );
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document.write( "My math teacher gaves us a hint. He said that first break it down and that it won't factor. Then to use the the quadratic formula to graph it. So since it wont factor out I solved it using the quadratic formula and got 2 +/- i Square root 8.\r<BR>\n" );
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document.write( "Don't know if I did it right and if so how do I graph it?<BR>\n" );
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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 #215345 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=215345\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solve this sytem two ways: <BR>\n" );
document.write( "1. Algebraically<BR>\n" );
document.write( "2. Graphically <BR>\n" );
document.write( "Problem: <BR>\n" );
document.write( "x^2+Y^2=4<BR>\n" );
document.write( "x+y=4 <BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "x = 4-y<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Substitute in the 1st equation:<BR>\n" );
document.write( "(4-y)^2 + y^2 = 4<BR>\n" );
document.write( "16-8y+y^2+y^2 = 4<BR>\n" );
document.write( "---<BR>\n" );
document.write( "2y^2 - 8y + 12 = 0<BR>\n" );
document.write( "Divide by 2 and solve for \"y\":<BR>\n" );
document.write( "y^2 - 4y + 6 = 0<BR>\n" );
document.write( "y = [4+-sqrt(16-4*6)]/2<BR>\n" );
document.write( "y = [4+-sqrt(-8)]/2<BR>\n" );
document.write( "y = 2+isqrt(2) or y = 2-isqrt(2)<BR>\n" );
document.write( "==================================<BR>\n" );
document.write( "Substitute in x = 4-y:<BR>\n" );
document.write( "When y = 2+isqrt(2), x = 2-isqrt(2)<BR>\n" );
document.write( "When y = 2-isqrt(2), x = 2+isqrt(2)<BR>\n" );
document.write( "===================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "=================================== </SPAN>\n" );
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