document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=709682>Question 709682</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I solve the square root of x+6 - 4 ( -4 being on the outside of the square) = x what are the proposed solutions </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #436737 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=436737\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First we isolate the square root:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%2B6%29-4=x ALIGN=MIDDLE  ALT=\"sqrt%28x%2B6%29-4=x\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%2B6%29=x%2B4 ALIGN=MIDDLE  ALT=\"sqrt%28x%2B6%29=x%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now, we square both sides of the equal sign,<BR>\n" );
document.write( "knowing that we may be adding extraneous solutions,<BR>\n" );
document.write( "but not worrying about them at this point.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%2B6%29=x%2B4 ALIGN=MIDDLE  ALT=\"sqrt%28x%2B6%29=x%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B6=%28x%2B4%29%5E2 ALIGN=MIDDLE  ALT=\"x%2B6=%28x%2B4%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B6=x%5E2%2B8x%2B16 ALIGN=MIDDLE  ALT=\"x%2B6=x%5E2%2B8x%2B16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now, we solve, still not worrying about extraneous solutions.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B6=x%5E2%2B8x%2B16 ALIGN=MIDDLE  ALT=\"x%2B6=x%5E2%2B8x%2B16\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=x%5E2%2B7x%2B10 ALIGN=MIDDLE  ALT=\"0=x%5E2%2B7x%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If we are good at factoring, we factor<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B7x%2B10=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B7x%2B10=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%28x%2B5%29=0 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%28x%2B5%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and find the solutions to that equation as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-2 ALIGN=MIDDLE  ALT=\"x=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-5 ALIGN=MIDDLE  ALT=\"x=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(If we are not good at factoring,<BR>\n" );
document.write( "we may solve the equation a different way,<BR>\n" );
document.write( "such as \"completing the square\"<BR>\n" );
document.write( "or using the quadratic formula).<BR>\n" );
document.write( " <BR>\n" );
document.write( "At this point we worry about extraneous solutions,<BR>\n" );
document.write( "but not to much.<BR>\n" );
document.write( "We just check to see if the solutions we found for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B7x%2B10=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B7x%2B10=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "are solutions to <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%2B6%29-4=x ALIGN=MIDDLE  ALT=\"sqrt%28x%2B6%29-4=x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substituting <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-2 ALIGN=MIDDLE  ALT=\"x=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%2B6%29-4=sqrt%28-2%2B6%29-4=sqrt%284%29-4=2-4=-2 ALIGN=MIDDLE  ALT=\"sqrt%28x%2B6%29-4=sqrt%28-2%2B6%29-4=sqrt%284%29-4=2-4=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=-2%29 ALIGN=MIDDLE  ALT=\"highlight%28x=-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a solution of the original equation.<BR>\n" );
document.write( "Substituting <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-5 ALIGN=MIDDLE  ALT=\"x=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%2B6%29-4=sqrt%28-5%2B6%29-4=sqrt%281%29-4=1-4=-3 ALIGN=MIDDLE  ALT=\"sqrt%28x%2B6%29-4=sqrt%28-5%2B6%29-4=sqrt%281%29-4=1-4=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so <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;\" > is an extraneous solution.<BR>\n" );
document.write( "It is not a solution of the original equation. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );