document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=33685>Question 33685</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I don't know how to solve x(to the fourth) minus (five x squared) plus four.<BR>\n" );
document.write( "In school we did something called a diamond formula or something with a diamond and it makes everything easier but i don't understand.  Can you explain to me how to solve this by the diamond formula.  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 #20100 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=20100\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Well, I don't believe I've heard of the \"diamond formula\" for solving 4th-degree polynomials.<BR>\n" );
document.write( "But try this method:<BR>\n" );
document.write( "Solve:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E4+-5x%5E2%2B4+=+0 ALIGN=MIDDLE  ALT=\"x%5E4+-5x%5E2%2B4+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite this as:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%29%5E2+-+5%28x%5E2%29+%2B+4+=+0 ALIGN=MIDDLE  ALT=\"%28x%5E2%29%5E2+-+5%28x%5E2%29+%2B+4+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Temporarily set <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+=+y ALIGN=MIDDLE  ALT=\"x%5E2+=+y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2+-+5y+%2B+4+=+0 ALIGN=MIDDLE  ALT=\"y%5E2+-+5y+%2B+4+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Solve this quadratic equation in y by factoring.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y+-+1%29%28y+-+4%29+=+0 ALIGN=MIDDLE  ALT=\"%28y+-+1%29%28y+-+4%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Apply the zero products principle.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+-+1+=+0 ALIGN=MIDDLE  ALT=\"y+-+1+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and/or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+-+4+=+0 ALIGN=MIDDLE  ALT=\"y+-+4+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+-+1+=+0 ALIGN=MIDDLE  ALT=\"y+-+1+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+1 ALIGN=MIDDLE  ALT=\"y+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+-+4+=+0 ALIGN=MIDDLE  ALT=\"y+-+4+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+4 ALIGN=MIDDLE  ALT=\"y+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "But, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+x%5E2 ALIGN=MIDDLE  ALT=\"y+=+x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+=+1 ALIGN=MIDDLE  ALT=\"x%5E2+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+1 ALIGN=MIDDLE  ALT=\"x+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-1 ALIGN=MIDDLE  ALT=\"x+=+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+=+4 ALIGN=MIDDLE  ALT=\"x%5E2+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+2 ALIGN=MIDDLE  ALT=\"x+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-2 ALIGN=MIDDLE  ALT=\"x+=+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "The roots are:<BR>\n" );
document.write( "x = 1<BR>\n" );
document.write( "x = -1<BR>\n" );
document.write( "x = 2<BR>\n" );
document.write( "x = -2\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
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