document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=769550>Question 769550</A>: <I><SPAN STYLE=\"word-break: break-all;\"> use the discriminant to determine the number of points of intersection on the line y= 3x +5 and the quadratic function f(x) = 3x^2 -2x-4<BR>\n" );
document.write( "Solve to find the points of intersection.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #468913 by </B><A HREF=/tutors/aboutme.mpl?userid=reviewermath><B>reviewermath(1029)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=reviewermath><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=reviewermath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=468913\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Q:<BR>\n" );
document.write( "Use the discriminant to determine the number of points of intersection on the line y= 3x +5 and the quadratic function f(x) = 3x^2 -2x-4<BR>\n" );
document.write( "Solve to find the points of intersection. <BR>\n" );
document.write( "-----------------------------------------------------------------------<BR>\n" );
document.write( "A:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2+-2x-4 ALIGN=MIDDLE  ALT=\"3x%5E2+-2x-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3x + 5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2+-+5x+-+9 ALIGN=MIDDLE  ALT=\"3x%5E2+-+5x+-+9\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0<BR>\n" );
document.write( "a = 3, b = -5, c = -9<BR>\n" );
document.write( "discriminant, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2+-+4ac ALIGN=MIDDLE  ALT=\"b%5E2+-+4ac\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-5%29%5E2+-+4%283%29%28-9%29 ALIGN=MIDDLE  ALT=\"%28-5%29%5E2+-+4%283%29%28-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 133 > 0, therefore<BR>\n" );
document.write( "there are two points of intersections.<BR>\n" );
document.write( "Here's the graph:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28500%2C500%2C-15%2C15%2C-15%2C15%2Cgrid%281%29%2Cgraph%28500%2C500%2C-15%2C15%2C-15%2C15%2C3x%5E2-2x-4%2C3x%2B5%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );