document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=253569>Question 253569</A>: <I><SPAN STYLE=\"word-break: break-all;\"> equations involving radicals  check for extraneous solutions<BR>\n" );
document.write( "square of a-1-5=a </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #185903 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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=185903\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I think this is the question:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a-1%29%5E2-5=a ALIGN=MIDDLE  ALT=\"%28a-1%29%5E2-5=a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "expand the left side to get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+-2a+%2B+1-5+=+a ALIGN=MIDDLE  ALT=\"a%5E2+-2a+%2B+1-5+=+a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Set this = 0 to get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+-+3a+-+4+=+0 ALIGN=MIDDLE  ALT=\"a%5E2+-+3a+-+4+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "factor to get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a-4%29%28a%2B1%29+=0 ALIGN=MIDDLE  ALT=\"%28a-4%29%28a%2B1%29+=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solve each to get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a-4=0 ALIGN=MIDDLE  ALT=\"a-4=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a = 4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2B1=0 ALIGN=MIDDLE  ALT=\"a%2B1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+-1 ALIGN=MIDDLE  ALT=\"a+=+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "There are no extraneous in this question. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );