document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=24619>Question 24619</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the solution to the system y=xsquared+5 and y=2x+4<BR>\n" );
document.write( "thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #13114 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=13114\">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=y=x%5E2+%2B+5 ALIGN=MIDDLE  ALT=\"y=x%5E2+%2B+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+2x+%2B+4 ALIGN=MIDDLE  ALT=\"y+=+2x+%2B+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Therefore<BR>\n" );
document.write( "y=y<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B5+=+2x+%2B+4 ALIGN=MIDDLE  ALT=\"x%5E2+%2B5+=+2x+%2B+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which is a quadratic equation.  Solve by setting it equal to zero:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+5+-+2x+-+4=+0 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+5+-+2x+-+4=+0\"   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+-2x+%2B+1+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+-2x+%2B+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=%28x-1%29%5E2+=+0 ALIGN=MIDDLE  ALT=\"%28x-1%29%5E2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1 ALIGN=MIDDLE  ALT=\"x=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Substitute back into either equation, usually the simplest one is best!<BR>\n" );
document.write( "y = 2x +4 <BR>\n" );
document.write( "y = 2(1) + 4<BR>\n" );
document.write( "y = 6\r<BR>\n" );
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document.write( "There is only one point of intersection, (1, 6) .\r<BR>\n" );
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document.write( "Just for fun, let's check by graphing:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph+%28400%2C400%2C+-10%2C10%2C-10%2C10%2C+x%5E2%2B5%2C+2x%2B4%29 ALIGN=MIDDLE  ALT=\"graph+%28400%2C400%2C+-10%2C10%2C-10%2C10%2C+x%5E2%2B5%2C+2x%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "R^2 at SCC </SPAN>\n" );
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