document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=217164>Question 217164</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I solve this quadratic equation?<BR>\n" );
document.write( "2x^2+12x+19<BR>\n" );
document.write( "I need to find the leftmost x-int and the right most x-int for the graph of 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 #163782 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=163782\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2x^2 + 12x + 19<BR>\n" );
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document.write( "There are no real roots to this equation, (no x intercepts)\r<BR>\n" );
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document.write( "This can be shown by the discriminant: D = a^2 - 4*a*c<BR>\n" );
document.write( "In this equation: a = 2; b = 12; c = 19<BR>\n" );
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document.write( "D = 12^2 - 4*2*19<BR>\n" );
document.write( "D = 144 - 152<BR>\n" );
document.write( "D = -8; a neg quantity means no real roots<BR>\n" );
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document.write( "The graph:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+2x%5E2%2B12x%2B19%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+2x%5E2%2B12x%2B19%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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