document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1152368>Question 1152368</A>: <I><SPAN STYLE=\"word-break: break-all;\"> √x+√(1-x)+√(x(1-x))=1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #774416 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</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=774416\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%29%2Bsqrt%281-x%29=1-sqrt%28x%281-x%29%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%29%2Bsqrt%281-x%29=1-sqrt%28x%281-x%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=x%2B2sqrt%28x%281-x%29%29%2B1-x=1-2sqrt%28x%281-x%29%29%2Bx-x%5E2 ALIGN=MIDDLE  ALT=\"x%2B2sqrt%28x%281-x%29%29%2B1-x=1-2sqrt%28x%281-x%29%29%2Bx-x%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=2sqrt%28x%281-x%29%29%2B1=1-2sqrt%28x%281-x%29%29%2Bx-x%5E2 ALIGN=MIDDLE  ALT=\"2sqrt%28x%281-x%29%29%2B1=1-2sqrt%28x%281-x%29%29%2Bx-x%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-x%2B1-1=-2sqrt%28x%281-x%29%29-2sqrt%28x%281-x%29%29 ALIGN=MIDDLE  ALT=\"x%5E2-x%2B1-1=-2sqrt%28x%281-x%29%29-2sqrt%28x%281-x%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%5E2-x=-4sqrt%28x-x%5E2%29%29 ALIGN=MIDDLE  ALT=\"x%5E2-x=-4sqrt%28x-x%5E2%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=x%5E4+-+2+x%5E3+%2B+x%5E2=16+%28x+-+x%5E2%29 ALIGN=MIDDLE  ALT=\"x%5E4+-+2+x%5E3+%2B+x%5E2=16+%28x+-+x%5E2%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%5E4+-+2+x%5E3+%2B+17x%5E2-16+x+=0 ALIGN=MIDDLE  ALT=\"x%5E4+-+2+x%5E3+%2B+17x%5E2-16+x+=0\"   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%28x%5E3+-+2+x%5E2+%2B+17x-16+%29+=0 ALIGN=MIDDLE  ALT=\"x%28x%5E3+-+2+x%5E2+%2B+17x-16+%29+=0\"   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%28x+-+1%29+%28x%5E2+-+x+%2B+16%29+=+0 ALIGN=MIDDLE  ALT=\"x%28x+-+1%29+%28x%5E2+-+x+%2B+16%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "real solutions:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0 ALIGN=MIDDLE  ALT=\"x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<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( "use the discriminant <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4ac ALIGN=MIDDLE  ALT=\"b%5E2-4ac\"   DISABLED_style= \"max-width:90%; height:auto;\" > to determine if solutions of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+-+x+%2B+16+=+0+ ALIGN=MIDDLE  ALT=\"+x%5E2+-+x+%2B+16+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > are real or complex<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4ac=%28-1%29%5E2-4%2A1%2A16=1-64=-63 ALIGN=MIDDLE  ALT=\"b%5E2-4ac=%28-1%29%5E2-4%2A1%2A16=1-64=-63\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4ac%3C0+ ALIGN=MIDDLE  ALT=\"b%5E2-4ac%3C0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >=> we have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=complex ALIGN=MIDDLE  ALT=\"complex\"   DISABLED_style= \"max-width:90%; height:auto;\" > solutions and we <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=do ALIGN=MIDDLE  ALT=\"do\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+not ALIGN=MIDDLE  ALT=\"+not\"   DISABLED_style= \"max-width:90%; height:auto;\" > need them   <BR>\n" );
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