document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=336199>Question 336199</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I solve:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt%28+s%2B25+%29++%2B5+=+s ALIGN=MIDDLE  ALT=\"+sqrt%28+s%2B25+%29++%2B5+=+s\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Thank you.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #241071 by </B><A HREF=/tutors/aboutme.mpl?userid=galactus><B>galactus(183)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=galactus><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/cgi-bin/show-face.mpl?user=galactus><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=241071\">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%28s%2B25%29%2B5=s ALIGN=MIDDLE  ALT=\"sqrt%28s%2B25%29%2B5=s\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Subtract 5 from both sides:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28s%2B25%29=s-5 ALIGN=MIDDLE  ALT=\"sqrt%28s%2B25%29=s-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Square both sides to shed the radical:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%2B25=%28s-5%29%5E2 ALIGN=MIDDLE  ALT=\"s%2B25=%28s-5%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Expand to form the quadratic:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%2B25=s%5E2-10s%2B25 ALIGN=MIDDLE  ALT=\"s%2B25=s%5E2-10s%2B25\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Set to 0 by bringing everything to one side:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%5E2-11s=0 ALIGN=MIDDLE  ALT=\"s%5E2-11s=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Factor out s:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%28s-11%29=0 ALIGN=MIDDLE  ALT=\"s%28s-11%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Now, it is easy to see that the two solutions are s=0 and s=11.\r<BR>\n" );
document.write( "\n" );
document.write( "But, one of these may be extraneous. Check to see if they work:\r<BR>\n" );
document.write( "\n" );
document.write( "For s=0:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%280%2B25%29%2B5=0 ALIGN=MIDDLE  ALT=\"sqrt%280%2B25%29%2B5=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >........clearly untrue.\r<BR>\n" );
document.write( "\n" );
document.write( "Check s=11:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2811%2B25%29%2B5=11 ALIGN=MIDDLE  ALT=\"sqrt%2811%2B25%29%2B5=11\"   DISABLED_style= \"max-width:90%; height:auto;\" >......clearly true. \r<BR>\n" );
document.write( "\n" );
document.write( "s=11 is the solution we want.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );