document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=258790>Question 258790</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This is actually solving a problem that is quadratic in form. I am having lots of difficulties trying to figure this one out trying to substitute, but even sure if that is what I am supposed to do and totally stumped.  Here is the problem:\r<BR>\n" );
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document.write( "(x-3)^2/5=(4x)^1/5\r<BR>\n" );
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document.write( "If I let u = (x-3)^1/3, it still doesn't quite make it into a quadratic as it then looks like:<BR>\n" );
document.write( "u^2=(4x)^1/5\r<BR>\n" );
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document.write( "This is where I am stumped, not sure how to proceed after this since I can't use u to equal the 4x also as they are not like terms.\r<BR>\n" );
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document.write( "(and the exponents are fractions) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #190516 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=190516\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve for x:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%5E%282%2F5%29+=+%284x%29%5E%281%2F5%29 ALIGN=MIDDLE  ALT=\"%28x-3%29%5E%282%2F5%29+=+%284x%29%5E%281%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Raise both sides to the 5th power.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x-3%29%5E%282%2F5%29%29%5E5+=+%28%284x%29%5E%281%2F5%29%29%5E5 ALIGN=MIDDLE  ALT=\"%28%28x-3%29%5E%282%2F5%29%29%5E5+=+%28%284x%29%5E%281%2F5%29%29%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the exponents on the inside of the parentheses by those on the outside.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%5E2+=+%284x%29 ALIGN=MIDDLE  ALT=\"%28x-3%29%5E2+=+%284x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-6x%2B9+=+4x ALIGN=MIDDLE  ALT=\"x%5E2-6x%2B9+=+4x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 4x from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-10x%2B9+=+0 ALIGN=MIDDLE  ALT=\"x%5E2-10x%2B9+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor this quadratic equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29%28x-9%29+=+0 ALIGN=MIDDLE  ALT=\"%28x-1%29%28x-9%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Apply the zero product rule.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-1+=+0 ALIGN=MIDDLE  ALT=\"x-1+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-9+=+0 ALIGN=MIDDLE  ALT=\"x-9+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > so...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x+=+1%29 ALIGN=MIDDLE  ALT=\"highlight%28x+=+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x+=+9%29 ALIGN=MIDDLE  ALT=\"highlight%28x+=+9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Caution! Check the solutions by substituting into the given equation to discover any possible \"extraneous\" solutions..<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%5E%282%2F5%29+=+%284x%29%5E%281%2F5%29 ALIGN=MIDDLE  ALT=\"%28x-3%29%5E%282%2F5%29+=+%284x%29%5E%281%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Substitute x = 1.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281-3%29%5E%282%2F5%29+=+%284%2A1%29%5E%281%2F5%29 ALIGN=MIDDLE  ALT=\"%281-3%29%5E%282%2F5%29+=+%284%2A1%29%5E%281%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate using a calculator.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2%29%5E%282%2F5%29+=+%284%29%5E%281%2F5%29 ALIGN=MIDDLE  ALT=\"%28-2%29%5E%282%2F5%29+=+%284%29%5E%281%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.3195079+=+1.3195079 ALIGN=MIDDLE  ALT=\"1.3195079+=+1.3195079\"   DISABLED_style= \"max-width:90%; height:auto;\" > OK for x=1.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%5E%282%2F5%29+=+%284x%29%5E%281%2F5%29 ALIGN=MIDDLE  ALT=\"%28x-3%29%5E%282%2F5%29+=+%284x%29%5E%281%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Substitute x = 9.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289-3%29%5E%282%2F5%29+=%284%2A9%29%5E%281%2F5%29 ALIGN=MIDDLE  ALT=\"%289-3%29%5E%282%2F5%29+=%284%2A9%29%5E%281%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%5E%282%2F5%29+=+36%5E%281%2F5%29 ALIGN=MIDDLE  ALT=\"6%5E%282%2F5%29+=+36%5E%281%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.0476725+=+2.0476725 ALIGN=MIDDLE  ALT=\"2.0476725+=+2.0476725\"   DISABLED_style= \"max-width:90%; height:auto;\" > OK for x = 9<BR>\n" );
document.write( "Both solutions are valid! </SPAN>\n" );
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