document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=668935>Question 668935</A>: <I><SPAN STYLE=\"word-break: break-all;\"> x^2 + 8x - 5 = 0<BR>\n" );
document.write( "Solve this quadratic 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 #415987 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=415987\">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=x+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"x+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%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-%288%29%2B-sqrt%28%288%29%5E2-4%281%29%28-5%29%29%29%2F%282%281%29%29 ALIGN=MIDDLE  ALT=\"x+=+%28-%288%29%2B-sqrt%28%288%29%5E2-4%281%29%28-5%29%29%29%2F%282%281%29%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+=+%28-8%2B-sqrt%2884%29%29%2F2 ALIGN=MIDDLE  ALT=\"x+=+%28-8%2B-sqrt%2884%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+=+%28-8%2Bsqrt%2884%29%29%2F2 ALIGN=MIDDLE  ALT=\"x+=+%28-8%2Bsqrt%2884%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-8-sqrt%2884%29%29%2F2 ALIGN=MIDDLE  ALT=\"x+=+%28-8-sqrt%2884%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+=+%28-8%2B2%2Asqrt%2821%29%29%2F2 ALIGN=MIDDLE  ALT=\"x+=+%28-8%2B2%2Asqrt%2821%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-8-2%2Asqrt%2821%29%29%2F2 ALIGN=MIDDLE  ALT=\"x+=+%28-8-2%2Asqrt%2821%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+=+-4%2Bsqrt%2821%29 ALIGN=MIDDLE  ALT=\"x+=+-4%2Bsqrt%2821%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-4-sqrt%2821%29 ALIGN=MIDDLE  ALT=\"x+=+-4-sqrt%2821%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+=+0.58257569495584 ALIGN=MIDDLE  ALT=\"x+=+0.58257569495584\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-8.58257569495584 ALIGN=MIDDLE  ALT=\"x+=+-8.58257569495584\"   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+=+0.583 ALIGN=MIDDLE  ALT=\"x+=+0.583\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-8.583 ALIGN=MIDDLE  ALT=\"x+=+-8.583\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the exact solutions are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-4%2Bsqrt%2821%29 ALIGN=MIDDLE  ALT=\"x+=+-4%2Bsqrt%2821%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-4-sqrt%2821%29 ALIGN=MIDDLE  ALT=\"x+=+-4-sqrt%2821%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and the approximate solutions (to 3 decimal places) are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+0.583 ALIGN=MIDDLE  ALT=\"x+=+0.583\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-8.583 ALIGN=MIDDLE  ALT=\"x+=+-8.583\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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