document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=102468>Question 102468</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0495013579/algebrahomeworkh>algebra and Trigonmetry</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> find all real solutions of the equation:\r<BR>\n" );
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document.write( "1 over x cubed plus 4 over x squared plus 4 over x equals zero\r<BR>\n" );
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document.write( "I didn't understand what all of the signs meant so i wrote out all of the words </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #74472 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=74472\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I think this is what you mean.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fx%5E3%2B4%2Fx%5E2%2B4%2Fx=0 ALIGN=MIDDLE  ALT=\"1%2Fx%5E3%2B4%2Fx%5E2%2B4%2Fx=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "First step, get rid of any x expressions in the denominators by multiplying both sides by x^3.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3%2A%281%2Fx%5E3%2B4%2Fx%5E2%2B4%2Fx%29=x%5E3%2A%280%29 ALIGN=MIDDLE  ALT=\"x%5E3%2A%281%2Fx%5E3%2B4%2Fx%5E2%2B4%2Fx%29=x%5E3%2A%280%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%5E3%2A%281%2Fx%5E3%29%2B%284%2Ax%5E3%2Fx%5E2%29%2B%284%2Ax%5E3%2Fx%29=0 ALIGN=MIDDLE  ALT=\"x%5E3%2A%281%2Fx%5E3%29%2B%284%2Ax%5E3%2Fx%5E2%29%2B%284%2Ax%5E3%2Fx%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >Distributive property<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Ax%5E%283-3%29%2B4%2Ax%5E%283-2%29%2B4%2Ax%5E%283-1%29=0 ALIGN=MIDDLE  ALT=\"1%2Ax%5E%283-3%29%2B4%2Ax%5E%283-2%29%2B4%2Ax%5E%283-1%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >Dividing same base, subtract exponents<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2B4x%2B4x%5E2=0 ALIGN=MIDDLE  ALT=\"1%2B4x%2B4x%5E2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2%2B4x%2B1=0 ALIGN=MIDDLE  ALT=\"4x%5E2%2B4x%2B1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > A quadratic equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Bx%2B1%2F4=0 ALIGN=MIDDLE  ALT=\"x%5E2%2Bx%2B1%2F4=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 4. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B1%2F2%29%5E2=0 ALIGN=MIDDLE  ALT=\"%28x%2B1%2F2%29%5E2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the quadratic equation. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28x%2B1%2F2%29%5E2%29=0 ALIGN=MIDDLE  ALT=\"sqrt%28%28x%2B1%2F2%29%5E2%29=0\"   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%2B1%2F2=0 ALIGN=MIDDLE  ALT=\"x%2B1%2F2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-1%2F2 ALIGN=MIDDLE  ALT=\"x=-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "Check your answer using the value for x and your original equation. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fx%5E3%2B4%2Fx%5E2%2B4%2Fx=0 ALIGN=MIDDLE  ALT=\"1%2Fx%5E3%2B4%2Fx%5E2%2B4%2Fx=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3=-1%2F8 ALIGN=MIDDLE  ALT=\"x%5E3=-1%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%281%2Fx%5E3=-8%29 ALIGN=MIDDLE  ALT=\"highlight%281%2Fx%5E3=-8%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%5E2=1%2F4 ALIGN=MIDDLE  ALT=\"x%5E2=1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fx%5E2=4 ALIGN=MIDDLE  ALT=\"1%2Fx%5E2=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%284%2Fx%5E2=16%29 ALIGN=MIDDLE  ALT=\"highlight%284%2Fx%5E2=16%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=-1%2F2 ALIGN=MIDDLE  ALT=\"x=-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fx=-2 ALIGN=MIDDLE  ALT=\"1%2Fx=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%284%2Fx=-8%29 ALIGN=MIDDLE  ALT=\"highlight%284%2Fx=-8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now plug those values into your original equation. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%281%2Fx%5E3%29%2Bhighlight%284%2Fx%5E2%29%2Bhighlight%284%2Fx%29=0 ALIGN=MIDDLE  ALT=\"highlight%281%2Fx%5E3%29%2Bhighlight%284%2Fx%5E2%29%2Bhighlight%284%2Fx%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=-8%2B16-8=0 ALIGN=MIDDLE  ALT=\"-8%2B16-8=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=0 ALIGN=MIDDLE  ALT=\"0=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Good answer. <BR>\n" );
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