document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=338157>Question 338157</A>: <I><SPAN STYLE=\"word-break: break-all;\"> z^1/2-4z^1/4+4=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #242400 by </B><A HREF=/tutors/aboutme.mpl?userid=CharlesG2><B>CharlesG2(834)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CharlesG2><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=242400\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z^1/2-4z^1/4+4=0\r<BR>\n" );
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document.write( "z^(1/2) - 4z^(1/4) + 4 = 0 (placed these fractional exponents in parenthesis)<BR>\n" );
document.write( "z^(1/2) = (z^(1/4))^2 = z^(1/4 * 2) = z^(1/2) (you multiply exponents in this case)<BR>\n" );
document.write( "(z^(1/4) - 2)(z^(1/4) - 2) = 0<BR>\n" );
document.write( "z^(1/2) - 2 * z^(1/4) - 2 * z^(1/4) + 4 = 0 (used FOIL)<BR>\n" );
document.write( "z^(1/2) - 4z^(1/4) + 4 = 0 (simplified)\r<BR>\n" );
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document.write( "z^(1/4) = 2 (this means the 4th root of z is 2)<BR>\n" );
document.write( "(z^(1/4))^4 = 2^4 (take both sides to the 4th power)<BR>\n" );
document.write( "z = 16\r<BR>\n" );
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