document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=40294>Question 40294</A>: <I><SPAN STYLE=\"word-break: break-all;\"> \"Use the discriminant to find the number of the x-intercepts of the graph of the function y=-13x^2+2x+6.\"<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #25634 by </B><A HREF=/tutors/aboutme.mpl?userid=mbarugel><B>mbarugel(146)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mbarugel><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=25634\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello!<BR>\n" );
document.write( "In a quadratic equation of the form:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Ax%5E2+%2B+b%2Ax+%2B+c+=+0 ALIGN=MIDDLE  ALT=\"a%2Ax%5E2+%2B+b%2Ax+%2B+c+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "the formula for the discriminant is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4%2Aa%2Ac ALIGN=MIDDLE  ALT=\"b%5E2-4%2Aa%2Ac\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In your case, we have a = -13, b=2, c=6. Therefore, the discriminant is:<BR>\n" );
document.write( "2^2 - 4*(-13)*6 = 316\r<BR>\n" );
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document.write( "Since the discriminant is greater than zero, the graph has two x-intercepts. If it had been equal to zero, the graph would have had only one x-intercept. And, if it had been smaller than zero, the graph would have had no x-intercepts.\r<BR>\n" );
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document.write( "I hope this helps!<BR>\n" );
document.write( "Get more answers at <a  rel=nofollow HREF=http://www.onlinemathanswers.com>Online Math Answers.com</a>!<BR>\n" );
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