document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=353894>Question 353894</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have a hard exponent quadratic question.\r<BR>\n" );
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document.write( "5x^2/3 + 2x^4/3 -13 =0\r<BR>\n" );
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document.write( "My first inclination was to rearrange the terms to...\r<BR>\n" );
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document.write( "2x^4/3 + 5x^2/3 -13 =0\r<BR>\n" );
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document.write( "This puts it in the right order for substitution / y= x^2/3\r<BR>\n" );
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document.write( "Thus... 2y^2 + 5y -13 =0\r<BR>\n" );
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document.write( "This is where I'm stuck. I don't know how to unfold the answer with the unusual powers.\r<BR>\n" );
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document.write( "Thanks for your help.<BR>\n" );
document.write( "Neil </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #252981 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=252981\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> HI,<BR>\n" );
document.write( "2x^4/3 + 5x^2/3 -13 =0 <BR>\n" );
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document.write( "2x^4 + 5x^2 -39 =0 \r<BR>\n" );
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document.write( "*Note: This is a bi-quadratic form of an equation. In General:<BR>\n" );
document.write( "The bi-quadratic equation is ax4 + bx2 + c = 0 and as it can be writen as:.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%28x2%29%5E2%2Bbx2%2Bc=0 ALIGN=MIDDLE  ALT=\"a%28x2%29%5E2%2Bbx2%2Bc=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > has the roots:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x%5E2+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+=+%28-5+%2B-+sqrt%28+5%5E2-4%2A2%2A%28-39%29+%29%29%2F%282%2A2%29+ ALIGN=MIDDLE  ALT=\"x%5E2+=+%28-5+%2B-+sqrt%28+5%5E2-4%2A2%2A%28-39%29+%29%29%2F%282%2A2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+=+%28-5+%2B-+sqrt%28+5%5E2-4%2A2%2A%28-39%29+%29%29%2F%282%2A2%29+ ALIGN=MIDDLE  ALT=\"x%5E2+=+%28-5+%2B-+sqrt%28+5%5E2-4%2A2%2A%28-39%29+%29%29%2F%282%2A2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+=+%28-5+%2B-+sqrt%28+337%29%29%2F4+ ALIGN=MIDDLE  ALT=\"x%5E2+=+%28-5+%2B-+sqrt%28+337%29%29%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+sqrt%28%28-5+%2B-+sqrt%28+337%29%29%2F4+%29 ALIGN=MIDDLE  ALT=\"x+=+sqrt%28%28-5+%2B-+sqrt%28+337%29%29%2F4+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-5+%2B+sqrt%28+337%29%29%2F4+ ALIGN=MIDDLE  ALT=\"x+=+%28-5+%2B+sqrt%28+337%29%29%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-5+-+sqrt%28+337%29%29%2F4+%29 ALIGN=MIDDLE  ALT=\"x+=+%28-5+-+sqrt%28+337%29%29%2F4+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-%28%28-5++%2B+sqrt%28+337%29%29%2F4%29+ ALIGN=MIDDLE  ALT=\"x+=+-%28%28-5++%2B+sqrt%28+337%29%29%2F4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-%28%28-5++-+sqrt%28+337%29%29%2F4%29+ ALIGN=MIDDLE  ALT=\"x+=+-%28%28-5++-+sqrt%28+337%29%29%2F4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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