document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=363537>Question 363537</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following equation and check for extraneous solutions:\r<BR>\n" );
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document.write( "Squareroot of 6 - x - square root of  x - 6 = 2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #259236 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=259236\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Squareroot of 6 - x - square root of x - 6 = 2<BR>\n" );
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document.write( "sqrt(6-x) - sqrt(x-6) = 2<BR>\n" );
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document.write( "sqrt(6-x) = sqrt(x-6)+2<BR>\n" );
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document.write( "Square both sides to get:<BR>\n" );
document.write( "(6-x) = x-6 +4sqrt(x-6)+4<BR>\n" );
document.write( "Simplify to get:<BR>\n" );
document.write( "8-2x = 4sqrt(x-6)<BR>\n" );
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document.write( "4-x = 2sqrt(x-6)<BR>\n" );
document.write( "Square both sides:<BR>\n" );
document.write( "16-8x+x^2 = 4(x-6)<BR>\n" );
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document.write( "x^2-12x+40 = 0<BR>\n" );
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document.write( "b^2 -4ac = 144 - 4*40 < 0<BR>\n" );
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document.write( "So no Real Number solutions.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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