document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=30331>Question 30331</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Quesion: Which wquation below is the quadratic equation in standard form that results whsn you substitute u+x^-2 into the equation x^-4 -32 = 4x^-2 ?\r<BR>\n" );
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document.write( "Answers:<BR>\n" );
document.write( "(a) 1/u^2 - 4/u -32 =0<BR>\n" );
document.write( "(b) u^2 -4u -32 = 0<BR>\n" );
document.write( "(c) u^4 -4u^2 -32 =0<BR>\n" );
document.write( "(d) u^-2 -4u +32 = 0<BR>\n" );
document.write( "(e) 1/u^2 +4/u -32 =o </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #17021 by </B><A HREF=/tutors/aboutme.mpl?userid=Cintchr><B>Cintchr(481)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cintchr><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=17021\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E-4+-32+=+4x%5E-2+ ALIGN=MIDDLE  ALT=\"+x%5E-4+-32+=+4x%5E-2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+u%2Bx%5E-2+ ALIGN=MIDDLE  ALT=\"+u%2Bx%5E-2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "What are we substituting u+x^-2 for?  What is it equal to?  I am going to assume that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+u%2Bx%5E-2+ ALIGN=MIDDLE  ALT=\"+u%2Bx%5E-2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > should actually be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+u=x%5E-2+ ALIGN=MIDDLE  ALT=\"+u=x%5E-2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "First, set the first equation equal to 0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E-4+-32+-4x%5E-2+=+0+ ALIGN=MIDDLE  ALT=\"+x%5E-4+-32+-4x%5E-2+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > now ... the x^-4 needs to be rewritten<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%5E-2%29%5E2+-32+-4x%5E-2+=+0+ ALIGN=MIDDLE  ALT=\"+%28x%5E-2%29%5E2+-32+-4x%5E-2+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > anywhere there is a x^-2 ... plug in a u<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+u%5E2+-32+-4u+=+0+ ALIGN=MIDDLE  ALT=\"+u%5E2+-32+-4u+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > put the equation in descending order<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+u%5E2-4u-32+=+0+ ALIGN=MIDDLE  ALT=\"+u%5E2-4u-32+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  the answer is b<BR>\n" );
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