document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=508207>Question 508207</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3y^2/3+21y^1/3+30=0   Whats the solution to this? an can you show step by step so i'll know how to solve next time? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #340893 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=340893\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3y^2/3+21y^1/3+30=0 <BR>\n" );
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document.write( "Quadratic Form with variable y^(1/3).<BR>\n" );
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document.write( "Let w = y^(1/3) to get:<BR>\n" );
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document.write( "3w^2 + 21w + 30 = 0<BR>\n" );
document.write( "3[w^2+7w+10] = 0<BR>\n" );
document.write( "(w+5)(w+2) = 0<BR>\n" );
document.write( "w = -5 or w = -2\r<BR>\n" );
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document.write( "Now solve for y:<BR>\n" );
document.write( "y^(1/3) = -5 or y^(1/3) = -2<BR>\n" );
document.write( "y = -125 or y = -8<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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