document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=87483>Question 87483</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the radical equation (2x-1)^1/2=x-2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #63541 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=63541\">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=%282x-1%29%5E%281%2F2%29=x-2 ALIGN=MIDDLE  ALT=\"%282x-1%29%5E%281%2F2%29=x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Square both sides:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-1=+%28x-2%29%5E2 ALIGN=MIDDLE  ALT=\"2x-1=+%28x-2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-1+=+x%5E2+-4x%2B4 ALIGN=MIDDLE  ALT=\"2x-1+=+x%5E2+-4x%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "It's a quadratic equation, so set equal to zero by subtracting 2x and adding +1 to each side of the equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-1+-2x%2B1+=+x%5E2+-4x+%2B4+-2x+%2B1+ ALIGN=MIDDLE  ALT=\"2x-1+-2x%2B1+=+x%5E2+-4x+%2B4+-2x+%2B1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=x%5E2+-6x+%2B5 ALIGN=MIDDLE  ALT=\"0=x%5E2+-6x+%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Which FACTORS!!  (They all do when solving radical equations!!)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=%28x-5%29%28x-1%29+ ALIGN=MIDDLE  ALT=\"0=%28x-5%29%28x-1%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=5 ALIGN=MIDDLE  ALT=\"x=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1 ALIGN=MIDDLE  ALT=\"x=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Answers are NOT guaranteed, so you need to check the answers in the original equation to see if they work!\r<BR>\n" );
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document.write( "x=5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x-1%29%5E%281%2F2%29=x-2 ALIGN=MIDDLE  ALT=\"%282x-1%29%5E%281%2F2%29=x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810-1%29%5E%281%2F2%29=5-2 ALIGN=MIDDLE  ALT=\"%2810-1%29%5E%281%2F2%29=5-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  It checks!!\r<BR>\n" );
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document.write( "x=1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x-1%29%5E%281%2F2%29=1-2 ALIGN=MIDDLE  ALT=\"%282x-1%29%5E%281%2F2%29=1-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282-1%29%5E%281%2F2%29=x-2 ALIGN=MIDDLE  ALT=\"%282-1%29%5E%281%2F2%29=x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%5E%281%2F2%29+=+-1 ALIGN=MIDDLE  ALT=\"1%5E%281%2F2%29+=+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Reject.  This does NOT check!!\r<BR>\n" );
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document.write( "The answer is x=5.\r<BR>\n" );
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document.write( "R^2 Retired from SCC<BR>\n" );
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