document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=329537>Question 329537</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am having a hard time figuring this out and I cannot come up with any possible solution for this problem.\r<BR>\n" );
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document.write( "the directions say to solve the following inequality:\r<BR>\n" );
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document.write( "x^2-2x-5>0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #236217 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=236217\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solve the following inequality: <BR>\n" );
document.write( "x^2-2x-5>0<BR>\n" );
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document.write( "You do not solve an inequality directly; you solve for <BR>\n" );
document.write( "the boundary of the inequality, which is an equality.<BR>\n" );
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document.write( "Solve x^2-2x-5 = 0<BR>\n" );
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document.write( "x = [2 +- sqrt(4-4*1*-5)]/2<BR>\n" );
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document.write( "x = [2 +- sqrt(24)]/2<BR>\n" );
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document.write( "x = [1 +- sqrt(6)]<BR>\n" );
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document.write( "x = 1-sqrt(6) is approximately -1.45<BR>\n" );
document.write( "x = 1+sqrt(6) is approximately 3.45<BR>\n" );
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document.write( "Mark those x-values on a number line.<BR>\n" );
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document.write( "Now that you have the boundary values,<BR>\n" );
document.write( "find the solution set for the inequality<BR>\n" );
document.write( "by checking a test point from each of<BR>\n" );
document.write( "the three resulting intervals of the<BR>\n" );
document.write( "number line.<BR>\n" );
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document.write( "x^2-2x-5>0<BR>\n" );
document.write( "Check x = -10 to get: 100-20-5> 0 : true, so solution in (-inf,1-sqrt(6))<BR>\n" );
document.write( "Check x = 0 to get 0+0-5 > 0 : false, so no solutions between the zeroes<BR>\n" );
document.write( "Check x = +10 to get 100 -20-5 > 0: true, so solutions in (1+sqrt(6),+inf)<BR>\n" );
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document.write( "Soltuion: (-inf,1-sqrt(6))U(1+sqrt(6),+inf)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  </SPAN>\n" );
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