document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=279246>Question 279246</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am in desperate need of help on this problem.\r<BR>\n" );
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document.write( "x^1/2-4x^1/4=-3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #203076 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=203076\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%281%2F2%29+-+4x%5E%281%2F4%29+=+-3 ALIGN=MIDDLE  ALT=\"x%5E%281%2F2%29+-+4x%5E%281%2F4%29+=+-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Solve for x:<BR>\n" );
document.write( "If you can make this equation look more like a standard quadratic equation, then you can ease your desperation.<BR>\n" );
document.write( "Try a change of variable like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%281%2F4%29+=+y ALIGN=MIDDLE  ALT=\"x%5E%281%2F4%29+=+y\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%281%2F2%29+=+y%5E2 ALIGN=MIDDLE  ALT=\"x%5E%281%2F2%29+=+y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Make these substitions to get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2-4y+=+-3 ALIGN=MIDDLE  ALT=\"y%5E2-4y+=+-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 3 to both sides to get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2-4y%2B3+=+0 ALIGN=MIDDLE  ALT=\"y%5E2-4y%2B3+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now you can see that you have a standard quadratic equation in y, so now we solve for y.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2-4y%2B3+=+0 ALIGN=MIDDLE  ALT=\"y%5E2-4y%2B3+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-1%29%28y-3%29=+0 ALIGN=MIDDLE  ALT=\"%28y-1%29%28y-3%29=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > so that...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+1 ALIGN=MIDDLE  ALT=\"y+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+3 ALIGN=MIDDLE  ALT=\"y+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+x%5E%281%2F4%29 ALIGN=MIDDLE  ALT=\"y+=+x%5E%281%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%281%2F4%29+=+1 ALIGN=MIDDLE  ALT=\"x%5E%281%2F4%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%281%2F4%29+=+3 ALIGN=MIDDLE  ALT=\"x%5E%281%2F4%29+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > In both solutions, raise both sides to the 4th power.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E%281%2F4%29%29%5E4+=+1%5E4 ALIGN=MIDDLE  ALT=\"%28x%5E%281%2F4%29%29%5E4+=+1%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E%281%2F4%29%29%5E4+=+3%5E4 ALIGN=MIDDLE  ALT=\"%28x%5E%281%2F4%29%29%5E4+=+3%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E4+=+81 ALIGN=MIDDLE  ALT=\"3%5E4+=+81\"   DISABLED_style= \"max-width:90%; height:auto;\" ><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+=+81%29 ALIGN=MIDDLE  ALT=\"highlight%28x+=+81%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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