document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=184682>Question 184682</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780077224844/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> squareroot x + squareroot x-5 = 5\r<BR>\n" );
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document.write( "Solve equation & check for extraneous solutions </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #138592 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=138592\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> squareroot x + squareroot x-5 = 5 <BR>\n" );
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document.write( "Square both sides to get:<BR>\n" );
document.write( "x + 2sqrt[x(x-5)] + x-5 = 25\r<BR>\n" );
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document.write( "Simplify:\r<BR>\n" );
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document.write( "2sqrt[x^2-5x] = -2x+30\r<BR>\n" );
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document.write( "Square both sides:\r<BR>\n" );
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document.write( "4(x^2-5x) = 4x^2 -120x + 900<BR>\n" );
document.write( "4x^2 - 20x = 4x^2 -120x + 900<BR>\n" );
document.write( "100x = 900<BR>\n" );
document.write( "x = 9<BR>\n" );
document.write( "======================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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