document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1033563>Question 1033563</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the equation:<BR>\n" );
document.write( "(t-4)^6-11(t-4)^3+28=0<BR>\n" );
document.write( "t= </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #648194 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=648194\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the equation:<BR>\n" );
document.write( "(t-4)^6-11(t-4)^3+28=0<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "This is a quadratic equation with variable (t-4)^3<BR>\n" );
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document.write( "Let W = (t-4)^3 ; then you get:<BR>\n" );
document.write( "W^2 - 11W + 28 = 0<BR>\n" );
document.write( "Factor::<BR>\n" );
document.write( "(W-7)(W-4) = 0<BR>\n" );
document.write( "W = 7 or W = 4<BR>\n" );
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document.write( "Solve for \"t\"::<BR>\n" );
document.write( "(t-4)^3 = 7 or (t-4)^3 = 4<BR>\n" );
document.write( "t = 7^(1/3) + 4 or t = 4^(1/3) + 4<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "-----------------  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );