document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=498680>Question 498680</A>: <I><SPAN STYLE=\"word-break: break-all;\"> x^6 - 511x^3-512 = 0\r<BR>\n" );
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document.write( "find all real solutions of the equation.\r<BR>\n" );
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document.write( "hi, im having trouble factoring this out..getting confused with the exponents.<BR>\n" );
document.write( "thank you for your time! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #337120 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=337120\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We can let y = x^3, so our polynomial becomes\r<BR>\n" );
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document.write( "y^2 - 511y^2 - 512 = 0, which factors to\r<BR>\n" );
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document.write( "(y-512)(y+1) = 0\r<BR>\n" );
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document.write( "y = 512, -1 = x^3\r<BR>\n" );
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document.write( "The only real solutions are x = -1 and x = 8. </SPAN>\n" );
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