document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=164559>Question 164559</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve for the zeros or roots of this polynomial equation\r<BR>\n" );
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document.write( "k(x)= x-(1/x)\r<BR>\n" );
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document.write( "Please Please explain step by step because I really want to learn how to solve for the zeros of polynomial equations. Thank you for any help. Please Help Soon! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #121335 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=121335\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solve for the zeros or roots of this polynomial equation\r<BR>\n" );
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document.write( "k(x) = x-(1/x)<BR>\n" );
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document.write( "Make the equation = to 0<BR>\n" );
document.write( "x - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fx ALIGN=MIDDLE  ALT=\"1%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0<BR>\n" );
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document.write( "Multiply equation by x to get rid of the denominator<BR>\n" );
document.write( "x*x - x*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fx ALIGN=MIDDLE  ALT=\"1%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > = x*0<BR>\n" );
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document.write( "x^2 - 1 = 0<BR>\n" );
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document.write( "Recognize this as the \"difference of square\" and can be factored to:<BR>\n" );
document.write( "(x+1)*(x-1) = 0;  (FOIL this and you will see it)<BR>\n" );
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document.write( "Two solutions<BR>\n" );
document.write( "x = -1<BR>\n" );
document.write( "and<BR>\n" );
document.write( "x = +1<BR>\n" );
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document.write( "Prove it to yourself. Substitute -1 for x in the original equation<BR>\n" );
document.write( "-1 - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28-1%29 ALIGN=MIDDLE  ALT=\"1%2F%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0<BR>\n" );
document.write( "-1 - (-1) = 0<BR>\n" );
document.write( "Which is<BR>\n" );
document.write( " -1 + 1 = 0<BR>\n" );
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document.write( "Do the same with x=+1 </SPAN>\n" );
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