document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=4346>Question 4346</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve the quadratic equation 3x squared +4x+2=0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2+%2B+4x+%2B+2+=+0 ALIGN=MIDDLE  ALT=\"3x%5E2+%2B+4x+%2B+2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #1988 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=1988\">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=3x%5E2+%2B+4x+%2B+2+=+0 ALIGN=MIDDLE  ALT=\"3x%5E2+%2B+4x+%2B+2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Solving an equation by the quadratic formula is as easy as \"a, b, c.\"<BR>\n" );
document.write( "First identify the values of a=3, b=4, c=2.  Substitute these values into the quadratic formula:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-sqrt%28b%5E2+-+4%2Aa%2Ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-sqrt%28b%5E2+-+4%2Aa%2Ac%29%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Substitute the values of a=3, b=4, and c=2:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-4+%2B-sqrt%284%5E2+-+4%2A3%2A2%29%29%2F%282%2A3%29 ALIGN=MIDDLE  ALT=\"x+=+%28-4+%2B-sqrt%284%5E2+-+4%2A3%2A2%29%29%2F%282%2A3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-4+%2B-sqrt%2816+-+24%29%29%2F%286%29 ALIGN=MIDDLE  ALT=\"x+=+%28-4+%2B-sqrt%2816+-+24%29%29%2F%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-4+%2B-sqrt%28-8%29%29%2F%286%29 ALIGN=MIDDLE  ALT=\"x+=+%28-4+%2B-sqrt%28-8%29%29%2F%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-4+%2B-sqrt%28-4%29%2A+sqrt+%282%29%29%2F%286%29 ALIGN=MIDDLE  ALT=\"x+=+%28-4+%2B-sqrt%28-4%29%2A+sqrt+%282%29%29%2F%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-4+%2B-2i%2Asqrt%282%29%29%2F%286%29 ALIGN=MIDDLE  ALT=\"x+=+%28-4+%2B-2i%2Asqrt%282%29%29%2F%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "To reduce the fraction, it's a good idea to factor the numerator:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%282%28-2+%2B-i%2Asqrt%282%29%29%29%2F%286%29 ALIGN=MIDDLE  ALT=\"x+=+%282%28-2+%2B-i%2Asqrt%282%29%29%29%2F%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now divide out the 2 factor in the numerator with the 6 in the denominator.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28%28-2+%2B-i%2Asqrt%282%29%29%29%2F%283%29 ALIGN=MIDDLE  ALT=\"x+=+%28%28-2+%2B-i%2Asqrt%282%29%29%29%2F%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Final answer!\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "R^2 at SCC\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );