document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1130036>Question 1130036</A>: <I><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++sqrt%282x-5%29=x-4+++ ALIGN=MIDDLE  ALT=\"++sqrt%282x-5%29=x-4+++\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #746679 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=746679\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> sqrt(2x-5)=x-4 <BR>\n" );
document.write( "----<BR>\n" );
document.write( "Square both sides to get:<BR>\n" );
document.write( "2x-5 = x^2-8x+16<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Rearrange::<BR>\n" );
document.write( "x^2 - 10x + 21 = 0<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "Factor::<BR>\n" );
document.write( "(x-3)(x-7) = 0<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Check for extraneous answers::<BR>\n" );
document.write( "x = 3 ?<BR>\n" );
document.write( "sqrt(2*3-5) = 3-4<BR>\n" );
document.write( "sqrt(1) = -1 (x = 3 is extraneous)<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "x = 7 ?<BR>\n" );
document.write( "sqrt(2*7-5) = 7-4<BR>\n" );
document.write( "sqrt(9) = 3 (x = 7 is a solution)<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "----------- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );