document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=62331>Question 62331</A>: <I><SPAN STYLE=\"word-break: break-all;\"> sqrt(3x-5) - sqrt(x+7)=2 solve for x...may be more than one answer </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #43161 by </B><A HREF=/tutors/aboutme.mpl?userid=jai_kos><B>jai_kos(139)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jai_kos><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=43161\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given sqrt(3x-5) - sqrt(x+7)= 2\r<BR>\n" );
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document.write( "==>   sqrt(3x -5) = 2 + sqrt( x+7)\r<BR>\n" );
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document.write( "Square on both sides, we get\r<BR>\n" );
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document.write( "( 3x -5) = [ 2 + sqrt(x + 7)] ^2<BR>\n" );
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document.write( "3x - 5 = 4 + ( x + 7) + 4sqrt( x + 7)\r<BR>\n" );
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document.write( "3x - 5 - 4 -x - 7 = 4sqrt ( x + 7)\r<BR>\n" );
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document.write( "2x -   16 = 4 sqrt(x +7)\r<BR>\n" );
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document.write( "Divide throughout by 2, we get\r<BR>\n" );
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document.write( "x - 8 =  2sqrt (x + 7)\r<BR>\n" );
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document.write( "Square on both sides, we get\r<BR>\n" );
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document.write( "( x -8) ^ 2 = 4 ( x +  7)\r<BR>\n" );
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document.write( "x ^2 - 16x + 64 =  4x + 28\r<BR>\n" );
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document.write( "x ^2 - 16x -4x + 64 - 28 = 0\r<BR>\n" );
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document.write( "x^2 - 20x  +  + 36 = 0\r<BR>\n" );
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document.write( "x^2 - 18x - 2x + 36 = 0\r<BR>\n" );
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document.write( "x (x - 18) - 2 (x - 18) = 0\r<BR>\n" );
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document.write( "( x - 2) ( x- 18) = 0 \r<BR>\n" );
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document.write( "==> x - 2 = 0  or x - 18 = 0\r<BR>\n" );
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document.write( "==> x = 2 or x = 18\r<BR>\n" );
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document.write( "    </SPAN>\n" );
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