document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=737222>Question 737222</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help.... I watched a video on Khan Academy to complete this but I just do not understand it... Any help would be appreciated.\r<BR>\n" );
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document.write( "find all real solutions for x6 + 56x^3 – 512 = 0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #450244 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=450244\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hint:\r<BR>\n" );
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document.write( "Let z = x^3. So squaring both sides gives us z^2 = (x^3)^2 = x^6. This means\r<BR>\n" );
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document.write( "z = x^3\r<BR>\n" );
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document.write( "z^2 = x^6\r<BR>\n" );
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document.write( "So \r<BR>\n" );
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document.write( "x^6 + 56x^3 – 512 = 0\r<BR>\n" );
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document.write( "turns into\r<BR>\n" );
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document.write( "z^2 + 56z – 512 = 0\r<BR>\n" );
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document.write( "Your next task is to solve for z. I'll let you do this. You would use the quadratic formula to solve for z. \r<BR>\n" );
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document.write( "Once you have 2 solutions for z, you then use each solution of z to find the solutions for x. </SPAN>\n" );
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