document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=396732>Question 396732</A>: <I><SPAN STYLE=\"word-break: break-all;\"> for the equation x^2+6x=-3<BR>\n" );
document.write( "A.find a,b,c.(it will help you mput the equation in standard form first)<BR>\n" );
document.write( "b.solve the equation using the quadratic formula. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #281554 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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=281554\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Standard form for an equation like this is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2+%2B+bx+%2B+c+=+0 ALIGN=MIDDLE  ALT=\"ax%5E2+%2B+bx+%2B+c+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Note the zero on one side. So we start by getting one side of<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B6x=3 ALIGN=MIDDLE  ALT=\"x%5E2%2B6x=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "to be a zero. The easiest thing is to add -3 to each side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+6x+%2B+%28-3%29+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+6x+%2B+%28-3%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We can now \"read\" the values for a, b and c:<BR>\n" );
document.write( "a = 1<BR>\n" );
document.write( "b = 6<BR>\n" );
document.write( "c = -3<br><BR>\n" );
document.write( "Solving the equation with the Quadratic Formula we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-%286%29+%2B-+sqrt%28%286%29%5E2+-+4%281%29%28-3%29%29%29%2F2%281%29 ALIGN=MIDDLE  ALT=\"x+=+-%286%29+%2B-+sqrt%28%286%29%5E2+-+4%281%29%28-3%29%29%29%2F2%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which simplifies as follows:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-%286%29+%2B-+sqrt%2836+-+4%281%29%28-3%29%29%29%2F2%281%29 ALIGN=MIDDLE  ALT=\"x+=+%28-%286%29+%2B-+sqrt%2836+-+4%281%29%28-3%29%29%29%2F2%281%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-%286%29+%2B-+sqrt%2836+%2B+12%29%29%2F2%281%29 ALIGN=MIDDLE  ALT=\"x+=+%28-%286%29+%2B-+sqrt%2836+%2B+12%29%29%2F2%281%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-%286%29+%2B-+sqrt%2848%29%29%2F2%281%29 ALIGN=MIDDLE  ALT=\"x+=+%28-%286%29+%2B-+sqrt%2848%29%29%2F2%281%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+=+%28-6+%2B-+sqrt%2848%29%29%2F2 ALIGN=MIDDLE  ALT=\"x+=+%28-6+%2B-+sqrt%2848%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+=+%28-6+%2B-+sqrt%2816%2A3%29%29%2F2 ALIGN=MIDDLE  ALT=\"x+=+%28-6+%2B-+sqrt%2816%2A3%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+=+%28-6+%2B-+sqrt%2816%29%2Asqrt%283%29%29%2F2 ALIGN=MIDDLE  ALT=\"x+=+%28-6+%2B-+sqrt%2816%29%2Asqrt%283%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+=+%28-6+%2B-+4%2Asqrt%283%29%29%2F2 ALIGN=MIDDLE  ALT=\"x+=+%28-6+%2B-+4%2Asqrt%283%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+=+%282%28-3+%2B-+2%2Asqrt%283%29%29%29%2F2 ALIGN=MIDDLE  ALT=\"x+=+%282%28-3+%2B-+2%2Asqrt%283%29%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+=+%28cross%282%29%28-3+%2B-+2%2Asqrt%283%29%29%29%2Fcross%282%29 ALIGN=MIDDLE  ALT=\"x+=+%28cross%282%29%28-3+%2B-+2%2Asqrt%283%29%29%29%2Fcross%282%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+=+-3+%2B-+2%2Asqrt%283%29 ALIGN=MIDDLE  ALT=\"x+=+-3+%2B-+2%2Asqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "In long form this is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-3+%2B+2%2Asqrt%283%29 ALIGN=MIDDLE  ALT=\"x+=+-3+%2B+2%2Asqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-3+-+2%2Asqrt%283%29 ALIGN=MIDDLE  ALT=\"x+=+-3+-+2%2Asqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "These are the simplified, exact expressions for the solutions to your equation. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );