document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=942945>Question 942945</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose\r<BR>\n" );
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document.write( "at^2+ 5t + 4 > 0\r<BR>\n" );
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document.write( "for every real number t. Show that a >25/16. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #574879 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=574879\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The given quadratic never intersects the x-axis so it has two non-real roots. Also, it is above the x-axis so a > 0.\r<BR>\n" );
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document.write( "Therefore the discriminant must be < 0.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large 5^2 - 4a(4) < 0\"><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large 25 - 16a < 0\">\r<BR>\n" );
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document.write( "Rearranging, this is equivalent to <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large a > \frac{25}{16}\">. </SPAN>\n" );
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