document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1013015>Question 1013015</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve algebraically for all values of x:\r<BR>\n" );
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document.write( "x^4 +4x^3 +4x^2 = -16x\r<BR>\n" );
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document.write( "* I have already got an answer from my classmates that the values were x=0, x=-4 , x=2i and x=-2i, I got the first two but wondering how to get the imaginary parts. 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 #629178 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=629178\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E4+%2B4x%5E3+%2B4x%5E2+=+-16x ALIGN=MIDDLE  ALT=\"x%5E4+%2B4x%5E3+%2B4x%5E2+=+-16x\"   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%5E4+%2B4x%5E3+%2B4x%5E2+%2B16x=0 ALIGN=MIDDLE  ALT=\"x%5E4+%2B4x%5E3+%2B4x%5E2+%2B16x=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=%28x%5E4+%2B4x%5E3%29+%2B%284x%5E2+%2B16x%29=0 ALIGN=MIDDLE  ALT=\"%28x%5E4+%2B4x%5E3%29+%2B%284x%5E2+%2B16x%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=x%5E3%28x+%2B4%29+%2B4x%28x%2B4%29=0 ALIGN=MIDDLE  ALT=\"x%5E3%28x+%2B4%29+%2B4x%28x%2B4%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=%28x%5E3+%2B4x%29%28x%2B4%29=0 ALIGN=MIDDLE  ALT=\"%28x%5E3+%2B4x%29%28x%2B4%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=x%28x%5E2+%2B4%29%28x%2B4%29=0 ALIGN=MIDDLE  ALT=\"x%28x%5E2+%2B4%29%28x%2B4%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "solutions:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0 ALIGN=MIDDLE  ALT=\"x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > -> real solution\r<BR>\n" );
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document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B4=0 ALIGN=MIDDLE  ALT=\"x%5E2+%2B4=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > =><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=x=sqrt%28-4%29 ALIGN=MIDDLE  ALT=\"x=sqrt%28-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=sqrt%28%28-1%292%5E2%29 ALIGN=MIDDLE  ALT=\"x=sqrt%28%28-1%292%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2i ALIGN=MIDDLE  ALT=\"x=2i\"   DISABLED_style= \"max-width:90%; height:auto;\" >:there are two complex solutions and they are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2i ALIGN=MIDDLE  ALT=\"x=2i\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-2i ALIGN=MIDDLE  ALT=\"x=-2i\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B4=0 ALIGN=MIDDLE  ALT=\"x%2B4=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > => <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-4 ALIGN=MIDDLE  ALT=\"x=-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >  -> real solution\r<BR>\n" );
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document.write( " </SPAN>\n" );
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