document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=856859>Question 856859</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the equation for x: x^4-32x^2-256=0\r<BR>\n" );
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document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #516163 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=516163\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Make the substitution:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+z+=+x%5E2+ ALIGN=MIDDLE  ALT=\"+z+=+x%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+z%5E2+=+x%5E4+ ALIGN=MIDDLE  ALT=\"+z%5E2+=+x%5E4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+z%5E2+-+32z+-+256+=+0+ ALIGN=MIDDLE  ALT=\"+z%5E2+-+32z+-+256+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+z+=+%28+-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"+z+=+%28+-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+1+ ALIGN=MIDDLE  ALT=\"+a+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+-32+ ALIGN=MIDDLE  ALT=\"+b+=+-32+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+-256+ ALIGN=MIDDLE  ALT=\"+c+=+-256+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+z+=+%28+-%28-32%29+%2B-+sqrt%28+%28-32%29%5E2+-+4%2A1%2A%28-256%29+%29%29+%2F+%282%2A1%29+ ALIGN=MIDDLE  ALT=\"+z+=+%28+-%28-32%29+%2B-+sqrt%28+%28-32%29%5E2+-+4%2A1%2A%28-256%29+%29%29+%2F+%282%2A1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+z+=+%28+32+%2B-+sqrt%28+1024+%2B+1024+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+z+=+%28+32+%2B-+sqrt%28+1024+%2B+1024+%29%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+z+=+%28+32+%2B-+sqrt%28+2048+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+z+=+%28+32+%2B-+sqrt%28+2048+%29%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+z+=+%28+32+%2B-+32%2Asqrt%282%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+z+=+%28+32+%2B-+32%2Asqrt%282%29%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+z+=+16%2A%28+1+%2B+sqrt%282%29+%29+ ALIGN=MIDDLE  ALT=\"+z+=+16%2A%28+1+%2B+sqrt%282%29+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+z+=+16%2A%28+1+-+sqrt%282%29+%29+ ALIGN=MIDDLE  ALT=\"+z+=+16%2A%28+1+-+sqrt%282%29+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+z+=+x%5E2+ ALIGN=MIDDLE  ALT=\"+z+=+x%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+sqrt%28z%29+ ALIGN=MIDDLE  ALT=\"+x+=+sqrt%28z%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-sqrt%28z%29+ ALIGN=MIDDLE  ALT=\"+x+=+-sqrt%28z%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+4%2Asqrt%28+1+%2B+sqrt%282%29+%29+ ALIGN=MIDDLE  ALT=\"+x+=+4%2Asqrt%28+1+%2B+sqrt%282%29+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-4%2Asqrt%28+1+%2B+sqrt%282%29+%29+ ALIGN=MIDDLE  ALT=\"+x+=+-4%2Asqrt%28+1+%2B+sqrt%282%29+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+4%2Asqrt%28+1+-+sqrt%282%29+%29+ ALIGN=MIDDLE  ALT=\"+x+=+4%2Asqrt%28+1+-+sqrt%282%29+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( imaginary root )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-4%2Asqrt%28+1+-+sqrt%282%29+%29+ ALIGN=MIDDLE  ALT=\"+x+=+-4%2Asqrt%28+1+-+sqrt%282%29+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( imaginary root )<BR>\n" );
document.write( "You can plug these back in to check\r<BR>\n" );
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