document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=101014>Question 101014</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the quadratic formula to solve the following equations\r<BR>\n" );
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document.write( "x^2 + 7x + 6 = 0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #73609 by </B><A HREF=/tutors/aboutme.mpl?userid=doukungfoo><B>doukungfoo(195)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=doukungfoo><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=doukungfoo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=73609\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First here is the quadratic formula:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "The standard form of a quadratic equation is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2%2Bbx%2Bc=0 ALIGN=MIDDLE  ALT=\"ax%5E2%2Bbx%2Bc=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So we are going to use the quadratic formula to solve<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B7x%2B6=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B7x%2B6=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a in our problem is 1<BR>\n" );
document.write( "b in our problem is 7<BR>\n" );
document.write( "c in our problem is 6<BR>\n" );
document.write( "so first fill in these numbers for a, b, and c<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-7+%2B-+sqrt%28+7%5E2-4%2A1%2A6+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-7+%2B-+sqrt%28+7%5E2-4%2A1%2A6+%29%29%2F%282%2A1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-7+%2B-+sqrt%28+49-24+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%28-7+%2B-+sqrt%28+49-24+%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-7+%2B-+sqrt%28+25+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%28-7+%2B-+sqrt%28+25+%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "at this point lets split the equations in to two seperate equations<BR>\n" );
document.write( "we are doing this because of the +- in front of the square root<BR>\n" );
document.write( "so now we have this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=+%28-7%2Bsqrt%2825%29%29%2F2 ALIGN=MIDDLE  ALT=\"x=+%28-7%2Bsqrt%2825%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >   AND   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=+%28-7-sqrt%2825%29%29%2F2 ALIGN=MIDDLE  ALT=\"x=+%28-7-sqrt%2825%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=+%28-7%2B5%29%2F2 ALIGN=MIDDLE  ALT=\"x=+%28-7%2B5%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >   AND   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=+%28-7-5%29%2F2 ALIGN=MIDDLE  ALT=\"x=+%28-7-5%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=+-2%2F2 ALIGN=MIDDLE  ALT=\"x=+-2%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >   AND   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=+%28-12%29%2F2 ALIGN=MIDDLE  ALT=\"x=+%28-12%29%2F2\"   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;\" >   AND   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=+-6 ALIGN=MIDDLE  ALT=\"x=+-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So the solutions for x are -1 AND -6<BR>\n" );
document.write( "check both in the original equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B7x%2B6=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B7x%2B6=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%29%5E2%2B7%28-1%29%2B6=0 ALIGN=MIDDLE  ALT=\"%28-1%29%5E2%2B7%28-1%29%2B6=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-7%2B6=0 ALIGN=MIDDLE  ALT=\"1-7%2B6=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=0 ALIGN=MIDDLE  ALT=\"0=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B7x%2B6=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B7x%2B6=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-6%29%5E2%2B7%28-6%29%2B6=0 ALIGN=MIDDLE  ALT=\"%28-6%29%5E2%2B7%28-6%29%2B6=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36-42%2B6=0 ALIGN=MIDDLE  ALT=\"36-42%2B6=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=0 ALIGN=MIDDLE  ALT=\"0=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The both work so we can be sure we have solved the equation correctly.\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );