document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=877075>Question 877075</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 9m^2-3m-18=0<BR>\n" );
document.write( "please how to solve this equation </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #529152 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=529152\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We could begin by dividing both sides of the equal sign by 3.<BR>\n" );
document.write( "It is not absolutely necessary, but it makes calculations a bit easier.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9m%5E2-3m-18=0 ALIGN=MIDDLE  ALT=\"9m%5E2-3m-18=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289m%5E2-3m-18%29%2F3=0%2F3 ALIGN=MIDDLE  ALT=\"%289m%5E2-3m-18%29%2F3=0%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9m%5E2%2F3-3m%2F3-18%2F3=0 ALIGN=MIDDLE  ALT=\"9m%5E2%2F3-3m%2F3-18%2F3=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3m%5E2-m-6=0 ALIGN=MIDDLE  ALT=\"3m%5E2-m-6=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "At this point, if you like the quadratic formula, you can apply it.<BR>\n" );
document.write( "If you do not like formula, you would have to solve it by \"completing the square.\"<BR>\n" );
document.write( " <BR>\n" );
document.write( "USING THE QUADRATIC FORMULA:<BR>\n" );
document.write( "If an equation of the type <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;\" > has any solution(s),they are given by<BR>\n" );
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;\" ><BR>\n" );
document.write( "In this case, our variable is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m ALIGN=MIDDLE  ALT=\"m\"   DISABLED_style= \"max-width:90%; height:auto;\" > instead of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, but that does not matter.<BR>\n" );
document.write( "The coefficients of the equation are:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=3 ALIGN=MIDDLE  ALT=\"a=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=-1 ALIGN=MIDDLE  ALT=\"b=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=-6 ALIGN=MIDDLE  ALT=\"c=-6\"   DISABLED_style= \"max-width:90%; height:auto;\" > , so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%28-%28-1%29+%2B-+sqrt%28%28-1%29%5E2-4%2A3%2A%28-6%29%29%29%2F%282%2A3%29=%281+%2B-+sqrt%281%2B72%29%29%2F6=highlight%28%281+%2B-+sqrt%2873%29%29%2F6%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The approximate values are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x=-1.257%2C%22and%22%2Cx=1.591%29 ALIGN=MIDDLE  ALT=\"system%28x=-1.257%2C%22and%22%2Cx=1.591%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (rounded to 3 decimal places).<BR>\n" );
document.write( " <BR>\n" );
document.write( "COMPLETING THE SQUARE:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3m%5E2-m-6=0 ALIGN=MIDDLE  ALT=\"3m%5E2-m-6=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5E2-%281%2F3%29m-2=0 ALIGN=MIDDLE  ALT=\"m%5E2-%281%2F3%29m-2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > (dividing both sides by 3 again<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5E2-%281%2F3%29m-2=0 ALIGN=MIDDLE  ALT=\"m%5E2-%281%2F3%29m-2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5E2-%281%2F3%29m=2 ALIGN=MIDDLE  ALT=\"m%5E2-%281%2F3%29m=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5E2-%281%2F3%29m%2B%281%2F6%29%5E2=2%2B%281%2F6%29%5E2 ALIGN=MIDDLE  ALT=\"m%5E2-%281%2F3%29m%2B%281%2F6%29%5E2=2%2B%281%2F6%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28m-1%2F6%29%5E2=2%2B1%2F36 ALIGN=MIDDLE  ALT=\"%28m-1%2F6%29%5E2=2%2B1%2F36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28m-1%2F6%29%5E2=73%2F36 ALIGN=MIDDLE  ALT=\"%28m-1%2F6%29%5E2=73%2F36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28m-1%2F6=sqrt%2873%2F36%29=sqrt%2873%29%2F6%2C%22or%22%2Cm-1%2F6=-sqrt%2873%2F36%0D%0A%29=-sqrt%2873%29%2F6%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28m=1%2F6%2Bsqrt%2873%29%2F6%2C%22or%22%2Cm=1%2F6-sqrt%2873%29%2F6%29 ALIGN=MIDDLE  ALT=\"system%28m=1%2F6%2Bsqrt%2873%29%2F6%2C%22or%22%2Cm=1%2F6-sqrt%2873%29%2F6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=highlight%28%281+%2B-+sqrt%2873%29%29%2F6%29 ALIGN=MIDDLE  ALT=\"m=highlight%28%281+%2B-+sqrt%2873%29%29%2F6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );