document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1121373>Question 1121373</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve in R:  x= 12-sqrt(12-sqrt(x)) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #737236 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=737236\">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=+12-sqrt%2812-sqrt%28x%29%29 ALIGN=MIDDLE  ALT=\"x=+12-sqrt%2812-sqrt%28x%29%29\"   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-+12=sqrt%2812-sqrt%28x%29%29 ALIGN=MIDDLE  ALT=\"x-+12=sqrt%2812-sqrt%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .......square both sides\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-+12%29%5E2=%28sqrt%2812-sqrt%28x%29%29%29%5E2 ALIGN=MIDDLE  ALT=\"%28x-+12%29%5E2=%28sqrt%2812-sqrt%28x%29%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%5E2-+24x%2B144=+12-sqrt%28x%29 ALIGN=MIDDLE  ALT=\"x%5E2-+24x%2B144=+12-sqrt%28x%29\"   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%5E2-+24x%2B144-12=+-sqrt%28x%29 ALIGN=MIDDLE  ALT=\"x%5E2-+24x%2B144-12=+-sqrt%28x%29\"   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%5E2-+24x%2B132=+-sqrt%28x%29 ALIGN=MIDDLE  ALT=\"x%5E2-+24x%2B132=+-sqrt%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .....square both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-+24x%2B132%29%5E2=+%28-sqrt%28x%29+%29%5E2 ALIGN=MIDDLE  ALT=\"%28x%5E2-+24x%2B132%29%5E2=+%28-sqrt%28x%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%5E4+-+48+x%5E3+%2B+840+x%5E2+-+6336+x+%2B+17424=x ALIGN=MIDDLE  ALT=\"x%5E4+-+48+x%5E3+%2B+840+x%5E2+-+6336+x+%2B+17424=x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "x^4 - 48 x^3 + 840 x^2 - 6336 x-x + 17424=0\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E4+-+48+x%5E3+%2B+840+x%5E2+-+6337+x+%2B+17424=0 ALIGN=MIDDLE  ALT=\"x%5E4+-+48+x%5E3+%2B+840+x%5E2+-+6337+x+%2B+17424=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "solutions:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=9 ALIGN=MIDDLE  ALT=\"x=9\"   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=16 ALIGN=MIDDLE  ALT=\"x=16\"   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=%2823%2B3sqrt%285%29%29%2F2 ALIGN=MIDDLE  ALT=\"x=%2823%2B3sqrt%285%29%29%2F2\"   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=%2823-3sqrt%285%29%29%2F2 ALIGN=MIDDLE  ALT=\"x=%2823-3sqrt%285%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "if you verify solutions, you will notice that  only <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=9 ALIGN=MIDDLE  ALT=\"x=9\"   DISABLED_style= \"max-width:90%; height:auto;\" > will make <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x=+12-sqrt%2812-sqrt%28x%29%29 ALIGN=MIDDLE  ALT=\"+x=+12-sqrt%2812-sqrt%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > true\r<BR>\n" );
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document.write( " </SPAN>\n" );
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