document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=437355>Question 437355</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I need help solving radical equations. I tried one and got nowhere and did a second one and came up to the same thing.\r<BR>\n" );
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document.write( "Here is the first on that I didn't understand. \r<BR>\n" );
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document.write( "(x^(3/2)-3x^(1/2)=0\r<BR>\n" );
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document.write( "And here is the second one.\r<BR>\n" );
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document.write( "(x^(1/2)-2x^(1/4)+1=0\r<BR>\n" );
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document.write( "Any help would be great. One more question. Do you know of a link to a page where I could read more on these type of radical equations that deal with fractions? Thanks for all your help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #302535 by </B><A HREF=/tutors/aboutme.mpl?userid=Gogonati><B>Gogonati(855)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Gogonati><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=Gogonati><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=302535\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To solve the equation:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%283%2F2%29-3%2Ax%5E%281%2F2%29=0 ALIGN=MIDDLE  ALT=\"x%5E%283%2F2%29-3%2Ax%5E%281%2F2%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, add on both sides <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E%281%2F2%29 ALIGN=MIDDLE  ALT=\"3x%5E%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and after square both sides the result will be:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E%283%2F2%29%29%5E2=%283x%5E%281%2F2%29%29%5E2 ALIGN=MIDDLE  ALT=\"%28x%5E%283%2F2%29%29%5E2=%283x%5E%281%2F2%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >=>\r<BR>\n" );
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document.write( "=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3=9x ALIGN=MIDDLE  ALT=\"x%5E3=9x\"   DISABLED_style= \"max-width:90%; height:auto;\" > => <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3-9x=0 ALIGN=MIDDLE  ALT=\"x%5E3-9x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > => <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x%5E2-9%29=0 ALIGN=MIDDLE  ALT=\"x%28x%5E2-9%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, solving the last equation \r<BR>\n" );
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document.write( "we find the roots:\r<BR>\n" );
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document.write( "x=0 and (x-3)(x+3)=0 => x=-3 and x=3.\r<BR>\n" );
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document.write( "Answer: the solution of equation is the set: {-3, 0, 3}.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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