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" );
document.write( "\n" );
document.write( "x(x+2)(x-2)=35805\r<BR>\n" );
document.write( "\n" );
document.write( "Thankyou ^^\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Btw, x=33<BR>\n" );
document.write( "but how and why?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #366725 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=366725\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve for x\r<BR>\n" );
document.write( "\n" );
document.write( "x(x+2)(x-2)=35805<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3+-+4x+-+35805+=+0 ALIGN=MIDDLE  ALT=\"x%5E3+-+4x+-+35805+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "There's a method to solve cubics, but it's complex and tedious.<BR>\n" );
document.write( "If I didn't know 33 was a root, I would graph it.<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "With a large coefficient, the 35805, and only -4 times the x term, there's likely to be a root near the cube root of 35805.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C35805%29+=+32.9595 ALIGN=MIDDLE  ALT=\"root%283%2C35805%29+=+32.9595\"   DISABLED_style= \"max-width:90%; height:auto;\" >, close to 33, so checking for 33 being a root is reasonable.<BR>\n" );
document.write( "The other 2 roots are complex.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-33%2F2+%2B-+i%2Asqrt%283251%29%2F2 ALIGN=MIDDLE  ALT=\"x+=+-33%2F2+%2B-+i%2Asqrt%283251%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );