document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=2317>Question 2317</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 6x square + 11x + 3 =0 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 #944 by </B><A HREF=/tutors/aboutme.mpl?userid=gsmani_iyer><B>gsmani_iyer(201)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=gsmani_iyer><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=gsmani_iyer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=944\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> All the quadratic equations need not be solved only by using the formula. You must know that the quadratic equation can also be solved by factorising it as in this case:\r<BR>\n" );
document.write( "\n" );
document.write( "    6x^2+11x+3 = 0\r<BR>\n" );
document.write( "\n" );
document.write( "=   6x^2+2x+9x+3 = 0\r<BR>\n" );
document.write( "\n" );
document.write( "=   2x(3x+1) + 3(3x+1) = 0\r<BR>\n" );
document.write( "\n" );
document.write( "=   (3x+1)(2x+3) = 0\r<BR>\n" );
document.write( "\n" );
document.write( "So either (3x+1) = 0 or  (2x+3) = 0\r<BR>\n" );
document.write( "\n" );
document.write( "So  if 3x+1 = 0, then  3x = -1<BR>\n" );
document.write( "=  x = -<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If 2x+3 = 0, then 2x = -3<BR>\n" );
document.write( "=  x = -<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F2 ALIGN=MIDDLE  ALT=\"3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );