document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1182040>Question 1182040</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The path of a breaching ocra whale can be modeled by the function k(x) = x^2 - 2x - 8, where x is the time elapsed in seconds under water, and k(x) is the height in ft below the water.	<BR>\n" );
document.write( "Determine HOW LONG is the ocra (killer) whale underwater to the nearest second. \r<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 #812011 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=812011\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We need to solve for the time, x, when the height k(x) goes to zero<BR>\n" );
document.write( "x^2 - 2x - 8 = 0<BR>\n" );
document.write( "This can be factored as (x-4)(x+2) = 0 which has solutions x=4, x=-2<BR>\n" );
document.write( "Since the elapsed time can't be negative, we take the positive solution, x=4<BR>\n" );
document.write( "Thus, the whale spends the time from x=0 to x=4 seconds under water.<BR>\n" );
document.write( "Ans: 4 s\r<BR>\n" );
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