document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=289785>Question 289785</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the qadratic formula to find the solutions to the equation. -x^2-x=7 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #209814 by </B><A HREF=/tutors/aboutme.mpl?userid=j1mmy94><B>j1mmy94(14)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=j1mmy94><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=j1mmy94><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=209814\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The original quadratic equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-x%5E2-x=7+ ALIGN=MIDDLE  ALT=\"+-x%5E2-x=7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "First you have to get the quadratic equation to equal to 0.<BR>\n" );
document.write( "So you have to subtract 7 on both sides. You should get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-x%5E2-x-7=0+ ALIGN=MIDDLE  ALT=\"+-x%5E2-x-7=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "It doesn't seem like the quadratic equation can be easily factored.<BR>\n" );
document.write( "We have to use the quadratic formula which is <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;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "In our case,<BR>\n" );
document.write( "a= -1<BR>\n" );
document.write( "b= -1<BR>\n" );
document.write( "c= -7<BR>\n" );
document.write( "Plug in the values for the variables.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-%28-1%29+%2B-+sqrt%28+%28-1%29%5E2-4%2A-1%2A-7+%29%29%2F%282%2A-1%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-%28-1%29+%2B-+sqrt%28+%28-1%29%5E2-4%2A-1%2A-7+%29%29%2F%282%2A-1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Simplify the equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%281+%2B-+sqrt%28+1-28+%29%29%2F%28-2%29+ ALIGN=MIDDLE  ALT=\"x+=+%281+%2B-+sqrt%28+1-28+%29%29%2F%28-2%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+=+%281+%2B-+sqrt%28+-27+%29%29%2F%28-2%29+ ALIGN=MIDDLE  ALT=\"x+=+%281+%2B-+sqrt%28+-27+%29%29%2F%28-2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The discriminant is less than zero, we can now tell that the solutions are imaginary and should include the symbol i.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%281+%2B-+3+i+sqrt3+%29%2F%28-2%29+ ALIGN=MIDDLE  ALT=\"x+=+%281+%2B-+3+i+sqrt3+%29%2F%28-2%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+=+-1%2F2+%2B-+%283%2F2%29i+sqrt3++ ALIGN=MIDDLE  ALT=\"x+=+-1%2F2+%2B-+%283%2F2%29i+sqrt3++\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );