document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=608196>Question 608196</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what are the roots of 6x^2+12x=-5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #383097 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=383097\">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=6x%5E2%2B12x=-5 ALIGN=MIDDLE  ALT=\"6x%5E2%2B12x=-5\"   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=6x%5E2%2B12x%2B5=0 ALIGN=MIDDLE  ALT=\"6x%5E2%2B12x%2B5=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now use the quadratic formula to solve for x\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%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-%2812%29%2B-sqrt%28%2812%29%5E2-4%286%29%285%29%29%29%2F%282%286%29%29 ALIGN=MIDDLE  ALT=\"x+=+%28-%2812%29%2B-sqrt%28%2812%29%5E2-4%286%29%285%29%29%29%2F%282%286%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+=+%28-12%2B-sqrt%28144-%28120%29%29%29%2F%2812%29 ALIGN=MIDDLE  ALT=\"x+=+%28-12%2B-sqrt%28144-%28120%29%29%29%2F%2812%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+=+%28-12%2B-sqrt%2824%29%29%2F12 ALIGN=MIDDLE  ALT=\"x+=+%28-12%2B-sqrt%2824%29%29%2F12\"   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+=+%28-12%2Bsqrt%2824%29%29%2F12 ALIGN=MIDDLE  ALT=\"x+=+%28-12%2Bsqrt%2824%29%29%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-12-sqrt%2824%29%29%2F12 ALIGN=MIDDLE  ALT=\"x+=+%28-12-sqrt%2824%29%29%2F12\"   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+=+%28-12%2B2%2Asqrt%286%29%29%2F12 ALIGN=MIDDLE  ALT=\"x+=+%28-12%2B2%2Asqrt%286%29%29%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-12-2%2Asqrt%286%29%29%2F12 ALIGN=MIDDLE  ALT=\"x+=+%28-12-2%2Asqrt%286%29%29%2F12\"   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%2Bsqrt%286%29%29%2F6 ALIGN=MIDDLE  ALT=\"x+=+%28-6%2Bsqrt%286%29%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-6-sqrt%286%29%29%2F6 ALIGN=MIDDLE  ALT=\"x+=+%28-6-sqrt%286%29%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the exact roots are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-6%2Bsqrt%286%29%29%2F6 ALIGN=MIDDLE  ALT=\"x+=+%28-6%2Bsqrt%286%29%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-6-sqrt%286%29%29%2F6 ALIGN=MIDDLE  ALT=\"x+=+%28-6-sqrt%286%29%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The approximate roots are then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-0.59175 ALIGN=MIDDLE  ALT=\"x+=+-0.59175\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-1.408248 ALIGN=MIDDLE  ALT=\"x+=+-1.408248\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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