document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=60914>Question 60914</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I can only solve part of this equation and then I get stuck.  Can someone show me the next steps I need to take and explain how they are done? I have done the equation as far as I can:\r<BR>\n" );
document.write( "\n" );
document.write( "SQRT(2X-1)+SQRT(X-4)= 4   <----original equation\r<BR>\n" );
document.write( "\n" );
document.write( "SQRT(2X-1)=4-SQRT(X-4)<BR>\n" );
document.write( "(SQRT<2X-1>)^2 = (4-SQRT<X-4>)^2<BR>\n" );
document.write( "2X-1 = (4-SQRT<X-4>)(4-SQRT<X-4>)  <------I am lost as to how to solve finish this side of the equation.\r<BR>\n" );
document.write( "\n" );
document.write( "Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #41868 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=41868\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282X-1%29%2Bsqrt%28X-4%29=4 ALIGN=MIDDLE  ALT=\"sqrt%282X-1%29%2Bsqrt%28X-4%29=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >   <----original equation\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282X-1%29=4-sqrt%28X-4%29 ALIGN=MIDDLE  ALT=\"sqrt%282X-1%29=4-sqrt%28X-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282X-1%29%5E2=%284-sqrt%28X-4%29%29%5E2 ALIGN=MIDDLE  ALT=\"sqrt%282X-1%29%5E2=%284-sqrt%28X-4%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2X-1=%284-sqrt%28X-4%29%29%284-sqrt%28X-4%29%29 ALIGN=MIDDLE  ALT=\"2X-1=%284-sqrt%28X-4%29%29%284-sqrt%28X-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-1=4%284-sqrt%28x-4%29%29-sqrt%28x-4%29%284-sqrt%28x-4%29%29 ALIGN=MIDDLE  ALT=\"2x-1=4%284-sqrt%28x-4%29%29-sqrt%28x-4%29%284-sqrt%28x-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-1=16-4sqrt%28x-4%29-4sqrt%28x-4%29%2Bsqrt%28x-4%29%5E2 ALIGN=MIDDLE  ALT=\"2x-1=16-4sqrt%28x-4%29-4sqrt%28x-4%29%2Bsqrt%28x-4%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-1=16-8sqrt%28x-4%29%2Bx-4 ALIGN=MIDDLE  ALT=\"2x-1=16-8sqrt%28x-4%29%2Bx-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-1=-8sqrt%28x-4%29%2Bx%2B12 ALIGN=MIDDLE  ALT=\"2x-1=-8sqrt%28x-4%29%2Bx%2B12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-x-1-12=-8sqrt%28x-4%29%2Bx-x%2B12-12 ALIGN=MIDDLE  ALT=\"2x-x-1-12=-8sqrt%28x-4%29%2Bx-x%2B12-12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-13=-8sqrt%28x-4%29 ALIGN=MIDDLE  ALT=\"x-13=-8sqrt%28x-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-13%29%5E2=%28-8sqrt%28x-4%29%29%5E2 ALIGN=MIDDLE  ALT=\"%28x-13%29%5E2=%28-8sqrt%28x-4%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-26x%2B169=64%28sqrt%28x-4%29%29%5E2 ALIGN=MIDDLE  ALT=\"x%5E2-26x%2B169=64%28sqrt%28x-4%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-26x%2B169=64%28x-4%29 ALIGN=MIDDLE  ALT=\"x%5E2-26x%2B169=64%28x-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-26x%2B169=64x-256 ALIGN=MIDDLE  ALT=\"x%5E2-26x%2B169=64x-256\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-26x-64x%2B169%2B256=0 ALIGN=MIDDLE  ALT=\"x%5E2-26x-64x%2B169%2B256=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-90x%2B425=0 ALIGN=MIDDLE  ALT=\"x%5E2-90x%2B425=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(x-5)(x-85)=0<BR>\n" );
document.write( "x-5=0  and x-85=0<BR>\n" );
document.write( "x=5  and x=85<BR>\n" );
document.write( "Check for extraneous solutions:<BR>\n" );
document.write( "Let x=5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%285%29-1%29%2Bsqrt%28%285%29-4%29=4 ALIGN=MIDDLE  ALT=\"sqrt%282%285%29-1%29%2Bsqrt%28%285%29-4%29=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2810-1%29%2Bsqrt%285-4%29=4 ALIGN=MIDDLE  ALT=\"sqrt%2810-1%29%2Bsqrt%285-4%29=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%289%29%2Bsqrt%281%29=4 ALIGN=MIDDLE  ALT=\"sqrt%289%29%2Bsqrt%281%29=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2B1=4 ALIGN=MIDDLE  ALT=\"3%2B1=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "4=4  x=5 is a valid solution.<BR>\n" );
document.write( "let x=85<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%2885%29-1%29%2Bsqrt%28%2885%29-4%29=4 ALIGN=MIDDLE  ALT=\"sqrt%282%2885%29-1%29%2Bsqrt%28%2885%29-4%29=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28170-1%29%2Bsqrt%2885-4%29=4 ALIGN=MIDDLE  ALT=\"sqrt%28170-1%29%2Bsqrt%2885-4%29=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28169%29%2Bsqrt%2881%29=4 ALIGN=MIDDLE  ALT=\"sqrt%28169%29%2Bsqrt%2881%29=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13%2B9=4 ALIGN=MIDDLE  ALT=\"13%2B9=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22=4 ALIGN=MIDDLE  ALT=\"22=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > x=85 is an extraneous solution, it's not valid.<BR>\n" );
document.write( "Therefore the solution is: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=5%29 ALIGN=MIDDLE  ALT=\"highlight%28x=5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Happy Calculating!!! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );