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" );
document.write( "\n" );
document.write( "5x^2/3 + 2x^4/3 -13 =0\r<BR>\n" );
document.write( "\n" );
document.write( "My first inclination was to rearrange the terms to...\r<BR>\n" );
document.write( "\n" );
document.write( "2x^4/3 + 5x^2/3 -13 =0\r<BR>\n" );
document.write( "\n" );
document.write( "This puts it in the right order for substitution / y= x^2/3\r<BR>\n" );
document.write( "\n" );
document.write( "Thus... 2y^2 + 5y -13 =0\r<BR>\n" );
document.write( "\n" );
document.write( "This is where I'm stuck. I don't know how to unfold the answer with the unusual powers.\r<BR>\n" );
document.write( "\n" );
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 #252978 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=252978\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Well, you are ok so far but now you can use the quadratic formula (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a ALIGN=MIDDLE  ALT=\"y+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a\"   DISABLED_style= \"max-width:90%; height:auto;\" >) to solve for y.  In this problem, a = 2, b = 5, and c = -13, so...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-5%2B-sqrt%285%5E2-4%282%29%28-13%29%29%29%2F2%282%29 ALIGN=MIDDLE  ALT=\"y+=+%28-5%2B-sqrt%285%5E2-4%282%29%28-13%29%29%29%2F2%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "When you evaluate this you will get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-4.089 ALIGN=MIDDLE  ALT=\"y+=+-4.089\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.589 ALIGN=MIDDLE  ALT=\"1.589\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now you will need to substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+x%5E%282%2F3%29 ALIGN=MIDDLE  ALT=\"y+=+x%5E%282%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%282%2F3%29+=+-4.089 ALIGN=MIDDLE  ALT=\"x%5E%282%2F3%29+=+-4.089\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%282%2F3%29+=+1.589 ALIGN=MIDDLE  ALT=\"x%5E%282%2F3%29+=+1.589\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "To find x, raise both sides of each solution to the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F2 ALIGN=MIDDLE  ALT=\"3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > (the reciprocal of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3%29 ALIGN=MIDDLE  ALT=\"2%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >) power.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-4.089%29%5E%283%2F2%29 ALIGN=MIDDLE  ALT=\"x+=+%28-4.089%29%5E%283%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%281.589%29%5E%283%2F2%29 ALIGN=MIDDLE  ALT=\"x+=+%281.589%29%5E%283%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use your calculator to evaluate to get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-8.268i ALIGN=MIDDLE  ALT=\"x+=+-8.268i\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+2 ALIGN=MIDDLE  ALT=\"x+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "It would be advisable to check these solutions in your original equations. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );