document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=377675>Question 377675</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve for x: the square root of x + 7 = x - 5. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #268367 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=268367\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  solve for x: the square root of x + 7 = x - 5.<BR>\n" );
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document.write( "sqrt(x+7) = x-5<BR>\n" );
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document.write( "Square both sides to get:<BR>\n" );
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document.write( "x+7 = x^2-10x+25<BR>\n" );
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document.write( "Simplify:<BR>\n" );
document.write( "x^2 -11x + 18 = 0<BR>\n" );
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document.write( "(x-9)(x-2) = 0<BR>\n" );
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document.write( "x = 9 or x = 2<BR>\n" );
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document.write( "Check for extraneous roots:<BR>\n" );
document.write( "sqrt(9+7) = 9-5<BR>\n" );
document.write( "true<BR>\n" );
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document.write( "sqrt(2+7) = 2-5<BR>\n" );
document.write( "false, therefore x=2 is extraneous<BR>\n" );
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document.write( "Solution: x = 9<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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