document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=812941>Question 812941</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve<BR>\n" );
document.write( "a) x^4 + x^2 - 6 = 0\r<BR>\n" );
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document.write( "Can you please help me out? Thanks 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 #489446 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=489446\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let z = x^2. So z^2 = x^4 (square both sides)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E4+%2B+x%5E2+-+6+=+0+ ALIGN=MIDDLE  ALT=\"+x%5E4+%2B+x%5E2+-+6+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+z%5E2+%2B+z+-+6+=+0+ ALIGN=MIDDLE  ALT=\"+z%5E2+%2B+z+-+6+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Replace z with x^2 and x^4 with z^2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28z+-+2%29%28z+%2B+3%29+=+0+ ALIGN=MIDDLE  ALT=\"+%28z+-+2%29%28z+%2B+3%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+z+-+2+=+0 ALIGN=MIDDLE  ALT=\"+z+-+2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+%2B+3+=+0+ ALIGN=MIDDLE  ALT=\"z+%2B+3+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+z+=+2 ALIGN=MIDDLE  ALT=\"+z+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=+-3+ ALIGN=MIDDLE  ALT=\"z+=+-3+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+=+2 ALIGN=MIDDLE  ALT=\"+x%5E2+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+=+-3+ ALIGN=MIDDLE  ALT=\"x%5E2+=+-3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Remember we let z = x^2, so make the proper replacement\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%22%22%2B-sqrt%282%29 ALIGN=MIDDLE  ALT=\"+x+=+%22%22%2B-sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%22%22%2B-sqrt%28-3%29+ ALIGN=MIDDLE  ALT=\"x+=+%22%22%2B-sqrt%28-3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+sqrt%282%29 ALIGN=MIDDLE  ALT=\"+x+=+sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-sqrt%282%29 ALIGN=MIDDLE  ALT=\"+x+=+-sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+i%2Asqrt%283%29+ ALIGN=MIDDLE  ALT=\"x+=+i%2Asqrt%283%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-i%2Asqrt%283%29+ ALIGN=MIDDLE  ALT=\"x+=+-i%2Asqrt%283%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=======================================================\r<BR>\n" );
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document.write( "The four solutions are\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+sqrt%282%29 ALIGN=MIDDLE  ALT=\"+x+=+sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-sqrt%282%29 ALIGN=MIDDLE  ALT=\"+x+=+-sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+i%2Asqrt%283%29+ ALIGN=MIDDLE  ALT=\"x+=+i%2Asqrt%283%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-i%2Asqrt%283%29+ ALIGN=MIDDLE  ALT=\"x+=+-i%2Asqrt%283%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Note: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i ALIGN=MIDDLE  ALT=\"i\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the imaginary number <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i+=+sqrt%28-1%29 ALIGN=MIDDLE  ALT=\"i+=+sqrt%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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