document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=816063>Question 816063</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this equation in the complex number system.<BR>\n" );
document.write( "x^2+x+5=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #491342 by </B><A HREF=/tutors/aboutme.mpl?userid=doodles><B>doodles(24)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=doodles><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=491342\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Well we start off by using the quadratic equation in conjunction to the formula given. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-2+%2B-+sqrt%28+2%5E2-4%2A1%2A5+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-2+%2B-+sqrt%28+2%5E2-4%2A1%2A5+%29%29%2F%282%2A1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This gives us: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2+%2B-+sqrt+%284-20%29%29%2F%282%29+ ALIGN=MIDDLE  ALT=\"%28-2+%2B-+sqrt+%284-20%29%29%2F%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "This then leads us to: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-2+%2B-+sqrt+%28-16%29%29%2F%282%29+ ALIGN=MIDDLE  ALT=\"+%28-2+%2B-+sqrt+%28-16%29%29%2F%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "and you should know since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt%28-16%29+ ALIGN=MIDDLE  ALT=\"+sqrt%28-16%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is technically impossible to do but we can switch this to an imaginary number. So our equation would be: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-2%2F2%29+%2B-+sqrt+%2816i%29%2F%282%29+ ALIGN=MIDDLE  ALT=\"+%28-2%2F2%29+%2B-+sqrt+%2816i%29%2F%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Then we further equation along by: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-2%2F2%29+%2B-+%284i%29%2F+%282%29%29+ ALIGN=MIDDLE  ALT=\"+%28-2%2F2%29+%2B-+%284i%29%2F+%282%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Then finally we reduce: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=++-1+%2B-+4i%2F2 ALIGN=MIDDLE  ALT=\"x+=++-1+%2B-+4i%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
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