document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=59767>Question 59767</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0078213479/algebrahomeworkh>Alegbra concepts and applications</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I tried using one of your solvers for the following problem and it gave me an error and said solution not found so if you could help that would be great!\r<BR>\n" );
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document.write( "Find the solution of the system \r<BR>\n" );
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document.write( "y = x^2 + 5\r<BR>\n" );
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document.write( "and\r<BR>\n" );
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document.write( "y = 2x + 4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #41032 by </B><A HREF=/tutors/aboutme.mpl?userid=Cintchr><B>Cintchr(481)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cintchr><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=41032\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. <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( "2. <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;\" ><BR>\n" );
document.write( "Since both are already in \"y=\" .... set them equal to each other<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+%2B+5+=+2x+%2B+4+ ALIGN=MIDDLE  ALT=\"+x%5E2+%2B+5+=+2x+%2B+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Move all parts to the left ... setting the equation equal to zero<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+%2B5+-2x+-4+=+0+ ALIGN=MIDDLE  ALT=\"+x%5E2+%2B5+-2x+-4+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "combine like terms and put in descending order<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+-2x+%2B1+=+0+ ALIGN=MIDDLE  ALT=\"+x%5E2+-2x+%2B1+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Factor<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x-1%29%28x-1%29+=+0+ ALIGN=MIDDLE  ALT=\"+%28x-1%29%28x-1%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since both parts are identical ... we only need to work it once<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x-1+=+0+ ALIGN=MIDDLE  ALT=\"+x-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=+x+=+1+ ALIGN=MIDDLE  ALT=\"+x+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Pulg x = 1 into the equations<BR>\n" );
document.write( "<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;\" > and <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;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+1%5E2+%2B+5+ ALIGN=MIDDLE  ALT=\"+y+=+1%5E2+%2B+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+2%281%29+%2B+4+ ALIGN=MIDDLE  ALT=\"+y+=+2%281%29+%2B+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+1+%2B+5+ ALIGN=MIDDLE  ALT=\"+y+=+1+%2B+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+2+%2B+4+ ALIGN=MIDDLE  ALT=\"+y+=+2+%2B+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+6+ ALIGN=MIDDLE  ALT=\"+y+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+6+ ALIGN=MIDDLE  ALT=\"+y+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Your one solution is <BR>\n" );
document.write( "(1,6)\r<BR>\n" );
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document.write( "The graphs are a parabola and a line.  Since there is only one solution, the point at which they meet is also the \"minimum\" or vertex of the parabola. </SPAN>\n" );
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