document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=978785>Question 978785</A>: <I><SPAN STYLE=\"word-break: break-all;\"> We are to find the value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E4%2Bx%5E4%2Bz%5E4 ALIGN=MIDDLE  ALT=\"x%5E4%2Bx%5E4%2Bz%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > when X, Y and Z are real numbers which satisfy the following three equalities:<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By%2Bz=3 ALIGN=MIDDLE  ALT=\"x%2By%2Bz=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2By%5E2%2Bz%5E2=9 ALIGN=MIDDLE  ALT=\"x%5E2%2By%5E2%2Bz%5E2=9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xyz=+-2 ALIGN=MIDDLE  ALT=\"xyz=+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Firstly, it follows from the first two equalities that\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy%2Byz%2Bzx+=+A ALIGN=MIDDLE  ALT=\"xy%2Byz%2Bzx+=+A\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Next using \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%5E2%2By%5E2%2Bz%5E2%29%5E2=x%5E4%2By%5E4%2Bz%5E4%2BB+%28%28xy%29%5E2%2B%28yz%29%5E2%2B%28zx%29%5E2%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "we have <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E4%2By%5E4%2Bz%5E4=C ALIGN=MIDDLE  ALT=\"x%5E4%2By%5E4%2Bz%5E4=C\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #600154 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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/cgi-bin/show-face.mpl?user=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=600154\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x+y+z=3,<BR>\n" );
document.write( "x^2+y^2+z^2=9,<BR>\n" );
document.write( "xyz= -2,<BR>\n" );
document.write( "x^4+x^4+z^4=c<BR>\n" );
document.write( "c = 57-32 sqrt(3),   x = 1-sqrt(3),   y = 1+sqrt(3),   z = 1<BR>\n" );
document.write( "c = 57+32 sqrt(3),   x = 1-sqrt(3),   y = 1+sqrt(3),   z = 1\r<BR>\n" );
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document.write( "c = 84+16 sqrt(3),   x = 1-sqrt(3),   y = 1,           z = 1+sqrt(3)<BR>\n" );
document.write( "c = 84-16 sqrt(3),   x = 1-sqrt(3),   y = 1,           z = 1+sqrt(3)\r<BR>\n" );
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document.write( "c = 30-16 sqrt(3),   x = 1,           y = 1-sqrt(3),   z = 1+sqrt(3)<BR>\n" );
document.write( "c = 30+16 sqrt(3),   x = 1,           y = 1-sqrt(3),   z = 1+sqrt(3) </SPAN>\n" );
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