document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=171339>Question 171339</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395977258/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> x^4+100>29x^2\r<BR>\n" );
document.write( "\n" );
document.write( "That greater than sign should be a greater than or equal to sign, but I didn't know how to make it on here. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #126487 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=126487\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^4+100>29x^2 <BR>\n" );
document.write( "That greater than sign should be a greater than or equal to sign,<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "1st: Solve the EQUALITY<BR>\n" );
document.write( "x^4 -29x^2 + 100 = 0<BR>\n" );
document.write( "(x^2-25)(x^2-4) = 0<BR>\n" );
document.write( "x = 5 or -5 or 2 or -2<BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "Draw a number line and plot -5, -2, 2, 5<BR>\n" );
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document.write( "2nd: Check a test value in each interval to see where the INEQUALITY solutions are<BR>\n" );
document.write( "Test x = -10: (100-25)(100-4)> 0; true so solutions in (-inf,-5)<BR>\n" );
document.write( "Test x = -3: (9-25)(9-4)> 0 ; false so no solutions in that interval<BR>\n" );
document.write( "Test x = 0: (0-25)(0-4)> 0 ; true so solutions in (-2,2)<BR>\n" );
document.write( "Test x = 3: (9-25)(9-4) >0 ; false so no solutions in that interval<BR>\n" );
document.write( "Test x = 10: (100-25)(100-4)>0: true so solutions in (5,+inf)<BR>\n" );
document.write( "=========================================<BR>\n" );
document.write( "Final Solution: (-inf,-5]U[-2,2]U[5,+inf)<BR>\n" );
document.write( "=========================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );