document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=85>Question 85</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The graph of a quadratic function can have 0, 1, or 2 x-intercepts. How can you predict the number of such intercepts without drawing the graph or completely solving the equation? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #41 by </B><A HREF=/tutors/aboutme.mpl?userid=ichudov><B>ichudov(507)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ichudov><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=ichudov><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=41\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Remember that an intercept of the quadratic graph is the same as the root of quadratic equation. It is the same thing. You can find out the 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;\" >. You know that if the discriminant is positive, you have two roots, hence, two intercepts. If it is zero, there is one root, one intercept. If it is negative, there are no roots and no intercepts. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );