document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=67112>Question 67112</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534494498/algebrahomeworkh>0-534-49449-8</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> How would I find the solutions to the equation  x^2+2x+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 #47724 by </B><A HREF=/tutors/aboutme.mpl?userid=chitra><B>chitra(359)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=chitra><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=47724\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The given equation is: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+2x+%2B+5+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+2x+%2B+5+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  \r<BR>\n" );
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document.write( "The last constant term is 5, this can be factored as 5 * 1 \r<BR>\n" );
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document.write( "Neither addtion of these two factors nor the subtraction gives us the middle term +2. \r<BR>\n" );
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document.write( "Hence, to find the roots of the equation, we use the quadratic formula. This is given by: \r<BR>\n" );
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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;\" > \r<BR>\n" );
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document.write( "From the given equation, we find the values of a, b and c from the given equation.\r<BR>\n" );
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document.write( "Hence, a = 1, b = 2 and c = 5. Substitute these values in the above formula.\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( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-2+%2B-+sqrt%28+4-20+%29%29%2F%282%29 ALIGN=MIDDLE  ALT=\"x+=+%28-2+%2B-+sqrt%28+4-20+%29%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \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%28-16%29%29%2F2 ALIGN=MIDDLE  ALT=\"x+=+%28-2+%2B-+sqrt%28-16%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > \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-+4i%29%2F2 ALIGN=MIDDLE  ALT=\"x+=+%28-2+%2B-+4i%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-1+%2B+-+2i ALIGN=MIDDLE  ALT=\"x+=+-1+%2B+-+2i\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Hence, the answer.\r<BR>\n" );
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document.write( "If you have any further queries about the quadratic equations, you can get back to me on this id tutyfruty9@yahoo.com\r<BR>\n" );
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document.write( "I'LL SURELY HELP YOU IN TIME... :) \r<BR>\n" );
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document.write( "HAPPY CALCULATING!!!!!!!!!!<BR>\n" );
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