document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=567822>Question 567822</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve for x\r<BR>\n" );
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document.write( "x(x+2)(x-2)=35805\r<BR>\n" );
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document.write( "Thankyou ^^\r<BR>\n" );
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document.write( "Btw, x=33<BR>\n" );
document.write( "but how and why?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #366715 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=366715\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 35805 = 31*33*35, x = 33\r<BR>\n" );
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document.write( "However it's a cubic equation so by the fundamental theorem of algebra, there should be three roots. Upon simplifying the LHS we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x^3 - 4x = 35805 \Rightarrow x^3 - 4x - 35805 = 0\">\r<BR>\n" );
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document.write( "We know x-33 is a factor so we can factor the LHS as (x-33)P(x) where P(x) is another polynomial. To find P(x) we divide the LHS by x-33 to obtain\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x^2 + 33x + 1085 = 0\">\r<BR>\n" );
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document.write( "By the quadratic formula, this has roots <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x = \frac{-33 \pm \sqrt{3251}i}{2}\"> in the complex plane. </SPAN>\n" );
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