document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=916678>Question 916678</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve 8x2 + 6x + 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 #556218 by </B><A HREF=/tutors/aboutme.mpl?userid=josh_jordan><B>josh_jordan(263)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josh_jordan><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=josh_jordan><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=556218\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x%5E2%2B6x%2B5=0 ALIGN=MIDDLE  ALT=\"8x%5E2%2B6x%2B5=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You will use the quadratic formula to solve for x.  Recall that the quadratic formula is as follows: <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( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-6%2B-sqrt%286%5E2-4%2A8%2A5%29%29%2F%282%2A8%29 ALIGN=MIDDLE  ALT=\"x=%28-6%2B-sqrt%286%5E2-4%2A8%2A5%29%29%2F%282%2A8%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=%28-6%2B-sqrt%2836-160%29%29%2F%2816%29 ALIGN=MIDDLE  ALT=\"x=%28-6%2B-sqrt%2836-160%29%29%2F%2816%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=%28-6%2B-sqrt%28-124%29%29%2F%2816%29 ALIGN=MIDDLE  ALT=\"x=%28-6%2B-sqrt%28-124%29%29%2F%2816%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "At this point, we will be using imaginary numbers, since the number inside the square root is negative.  When we factor 124, we see that 4 x 31 = 124.  We can then reduce the root to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2i%2Asqrt%2831%29 ALIGN=MIDDLE  ALT=\"2i%2Asqrt%2831%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  We now have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%286%2B-2i%2Asqrt%2831%29%29%2F%2816%29 ALIGN=MIDDLE  ALT=\"x=%286%2B-2i%2Asqrt%2831%29%29%2F%2816%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (Ignore the ( between the +- symbol. It automatically formatted that way)\r<BR>\n" );
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document.write( "Next, we can factor out a 2 from the numerator, reducing our numerator and denominator to the following, which is our final answer:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-3%2Bi%2Asqrt%2831%29%29%2F%288%29 ALIGN=MIDDLE  ALT=\"x=%28-3%2Bi%2Asqrt%2831%29%29%2F%288%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-3-i%2Asqrt%2831%29%29%2F%288%29 ALIGN=MIDDLE  ALT=\"%28-3-i%2Asqrt%2831%29%29%2F%288%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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