document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=828144>Question 828144</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve<BR>\n" );
document.write( "a) x^4 - 29x^2 + 100 = 0\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you so much in advance:) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #499087 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=499087\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E4+-+29x%5E2+%2B+100+=+0 ALIGN=MIDDLE  ALT=\"x%5E4+-+29x%5E2+%2B+100+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > may look difficult,<BR>\n" );
document.write( "but I bet you could solve <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2+-+29y+%2B+100+=+0 ALIGN=MIDDLE  ALT=\"y%5E2+-+29y+%2B+100+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > somehow.<BR>\n" );
document.write( "If you look closely, you will notice that making <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;\" > you get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2=x%5E4 ALIGN=MIDDLE  ALT=\"y%5E2=x%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "and substituting those expressions one equation turns into the other equation.<BR>\n" );
document.write( " <BR>\n" );
document.write( "I would solve <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2+-+29y+%2B+100+=+0 ALIGN=MIDDLE  ALT=\"y%5E2+-+29y+%2B+100+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > by factoring:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2+-+29y+%2B+100+=+0 ALIGN=MIDDLE  ALT=\"y%5E2+-+29y+%2B+100+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-4%29%28y-25%29=0 ALIGN=MIDDLE  ALT=\"%28y-4%29%28y-25%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28highlight%28y=4%29%2C%22or%22%2Chighlight%28y=25%29%29 ALIGN=MIDDLE  ALT=\"system%28highlight%28y=4%29%2C%22or%22%2Chighlight%28y=25%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Maybe you would solve it by applying the quadratic formula:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-%28-29%29+%2B-+sqrt%28%28-29%29%5E2-4%2A1%2A100+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"y=%28-%28-29%29+%2B-+sqrt%28%28-29%29%5E2-4%2A1%2A100+%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=y=%2829+%2B-+sqrt%28841-400%29%29%2F2 ALIGN=MIDDLE  ALT=\"y=%2829+%2B-+sqrt%28841-400%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%2829+%2B-+sqrt%28441%29%29%2F2 ALIGN=MIDDLE  ALT=\"y=%2829+%2B-+sqrt%28441%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%2829+%2B-+21%29%2F2 ALIGN=MIDDLE  ALT=\"y=%2829+%2B-+21%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=%2829-21%29%2F2=8%2F2=highlight%284%29%2C%22or%22%2Cy=%2829%2B21%29%2F2=50%2F2=highlight%2825%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( " <BR>\n" );
document.write( "Either way you end up with<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;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28highlight%28x=-2%29%2C%22or%22%2Chighlight%28x=2%29%29 ALIGN=MIDDLE  ALT=\"system%28highlight%28x=-2%29%2C%22or%22%2Chighlight%28x=2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=25 ALIGN=MIDDLE  ALT=\"x%5E2=25\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28highlight%28x=-5%29%2C%22or%22%2Chighlight%28x=5%29%29 ALIGN=MIDDLE  ALT=\"system%28highlight%28x=-5%29%2C%22or%22%2Chighlight%28x=5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "The short way to write the solution to the equation is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E4+-+29x%5E2+%2B+100+=+0 ALIGN=MIDDLE  ALT=\"x%5E4+-+29x%5E2+%2B+100+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-4%29%28x%5E2-25%29=0 ALIGN=MIDDLE  ALT=\"%28x%5E2-4%29%28x%5E2-25%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%28x%2B2%29%28x-5%29%28x%2B5%29=0 ALIGN=MIDDLE  ALT=\"%28x-2%29%28x%2B2%29%28x-5%29%28x%2B5%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28highlight%28x=-2%29%2C%22or%22%2Chighlight%28x=2%29%2C%22or%22%2Chighlight%28x=-5%29%2C%22or%22%2Chighlight%28x=5%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );