document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=465299>Question 465299</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all the real solutions of the following equation as a quadratic equation.\r<BR>\n" );
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document.write( "6n^2/3 + n^1/3 - 15 = 0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #318881 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=318881\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find all the real solutions of the following equation as a quadratic equation. <BR>\n" );
document.write( "6n^2/3 + n^1/3 - 15 = 0<BR>\n" );
document.write( "...<BR>\n" );
document.write( "6n^2/3 + n^1/3 - 15 = 0<BR>\n" );
document.write( "let x=n^1/3<BR>\n" );
document.write( "x^2=n^2/3<BR>\n" );
document.write( "..<BR>\n" );
document.write( "6x^2+x-15=0<BR>\n" );
document.write( "factor<BR>\n" );
document.write( "(3x+5)(2x-3)=0<BR>\n" );
document.write( "3x+5=0<BR>\n" );
document.write( "x=-5/3<BR>\n" );
document.write( "or<BR>\n" );
document.write( "2x-3=0<BR>\n" );
document.write( "x=3/2<BR>\n" );
document.write( "..<BR>\n" );
document.write( "n^1/3=-5/3<BR>\n" );
document.write( "cube both sides<BR>\n" );
document.write( "n=-125/27<BR>\n" );
document.write( "..<BR>\n" );
document.write( "n^1/3=3/2<BR>\n" );
document.write( "cube both sides<BR>\n" );
document.write( "n=27/8<BR>\n" );
document.write( "ans:<BR>\n" );
document.write( "n=-125/27 or 27/8 </SPAN>\n" );
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