document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=841811>Question 841811</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.) (6b)^1/2 = (8-2b)^1/2<BR>\n" );
document.write( "2.) (18-n)^1/2 = (n/8)^1/2<BR>\n" );
document.write( "3.) (-3-4x)^1/2 - (-2-2x)^1/2 = 1<BR>\n" );
document.write( "4.) x = 5+(3x-11)^1/2  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #508323 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=508323\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.) (6b)^1/2 = (8-2b)^1/2<BR>\n" );
document.write( "Square both sides to get:<BR>\n" );
document.write( "6b = 8-2b<BR>\n" );
document.write( "8b = 8<BR>\n" );
document.write( "b = 1<BR>\n" );
document.write( "-----------------------------------------<BR>\n" );
document.write( "2.) (18-n)^1/2 = (n/8)^1/2<BR>\n" );
document.write( "Square both sides to get:<BR>\n" );
document.write( "18-n = n/8<BR>\n" );
document.write( "(9/8)n = 18<BR>\n" );
document.write( "n = 2*8 = 16<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Note n = 16 would make the left side<BR>\n" );
document.write( "of your problem imaginary.<BR>\n" );
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document.write( "Conclusion: No solution<BR>\n" );
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document.write( "\n" );
document.write( "3.) (-3-4x)^1/2 - (-2-2x)^1/2 = 1<BR>\n" );
document.write( "Square both sides:<BR>\n" );
document.write( "-3-4x + -2-2x - 2((-3-4x)(-2-2x)))^(1/2) = 1<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "Rearrange and square both sides to get:<BR>\n" );
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document.write( "(-5-6x-1)^2 = [2(6+14x+8x^2)]<BR>\n" );
document.write( "(-6-6x)^2 = 12 + 28x+16x^2<BR>\n" );
document.write( "36+72x+36x^2 = 12 + 28x + 16x^2<BR>\n" );
document.write( "20x^2 + 44x + 24 = 0<BR>\n" );
document.write( "5x^2 + 11x + 6 = 0<BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( "5x^2+5x + 6x + 6 = 0<BR>\n" );
document.write( "5x(x+1) + 6(x+1) = 0<BR>\n" );
document.write( "(x+1)(5x+6) = 0<BR>\n" );
document.write( "x = -1 or x = -6/5<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Note: Check for extraneous solutions.<BR>\n" );
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document.write( "4.) x = 5+(3x-11)^1/2<BR>\n" );
document.write( "(3x-11)^(1/2) = x-5<BR>\n" );
document.write( "Square both sides to get::<BR>\n" );
document.write( "3x-11 = x^2-10x+25<BR>\n" );
document.write( "x^2 - 13x + 36 = 0<BR>\n" );
document.write( "x^2 - 9x-4x + 36 = 0<BR>\n" );
document.write( "x(x-9)-4(x-9) = 0<BR>\n" );
document.write( "(x-9)(x-4) = 0<BR>\n" );
document.write( "x = 9 or x = 4<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( " <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );