document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=845354>Question 845354</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve:\r<BR>\n" );
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document.write( "17x+12x^2+6=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #509255 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=509255\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you do not believe it can be factored through simple guess trials, then use the general formula for solution to a quadratic equation.  First find discriminant:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12x%5E2%2B17x%2B6=0 ALIGN=MIDDLE  ALT=\"12x%5E2%2B17x%2B6=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > compare with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2%2Bbx%2Bc=0 ALIGN=MIDDLE  ALT=\"ax%5E2%2Bbx%2Bc=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Discrim, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4%2Aa%2Ac ALIGN=MIDDLE  ALT=\"b%5E2-4%2Aa%2Ac\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Discriminant is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=17%5E2-4%2A12%2A6=289-288=1 ALIGN=MIDDLE  ALT=\"17%5E2-4%2A12%2A6=289-288=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "Upon this, maybe factoring SHOULD be tried!<BR>\n" );
document.write( "Seeing no negatives or subtractions, expect only binomial factors containing positive constant terms.<BR>\n" );
document.write( "As solved next, the solutions are not integers, so the trial and examinations for simple factoring is not so fast.\r<BR>\n" );
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document.write( "In continuing the general solution, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-17%2B-+sqrt%281%29%29%2F%282%2A12%29 ALIGN=MIDDLE  ALT=\"x=%28-17%2B-+sqrt%281%29%29%2F%282%2A12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-17-1%29%2F24 ALIGN=MIDDLE  ALT=\"x=%28-17-1%29%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" >  OR  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-17%2B1%29%2F24 ALIGN=MIDDLE  ALT=\"x=%28-17%2B1%29%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=-%283%2F4%29%29 ALIGN=MIDDLE  ALT=\"highlight%28x=-%283%2F4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  OR  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=-%282%2F3%29%29 ALIGN=MIDDLE  ALT=\"highlight%28x=-%282%2F3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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