document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=420909>Question 420909</A>: <I><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt+X%2B2+-+sqrt+X-3+=+sqrt+X-6 ALIGN=MIDDLE  ALT=\"sqrt+X%2B2+-+sqrt+X-3+=+sqrt+X-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is the problem I am trying to work out.  I have tried foiling, quadratic equation, completing the square, but I am not coming up with a good answer.  If you could help me I would appreciate it.  I don't want to know the answer as much as how to do it. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #294078 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=294078\">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+%28X%2B2%29+-+sqrt+%28X-3%29+=+sqrt+%28X-6%29 ALIGN=MIDDLE  ALT=\"sqrt+%28X%2B2%29+-+sqrt+%28X-3%29+=+sqrt+%28X-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ";<BR>\n" );
document.write( "square both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt+%28X%2B2%29+-+sqrt+%28X-3%29%29%5E2+=+%28sqrt+%28X-6%29%29%5E2 ALIGN=MIDDLE  ALT=\"%28sqrt+%28X%2B2%29+-+sqrt+%28X-3%29%29%5E2+=+%28sqrt+%28X-6%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "FOIL the Left side<BR>\n" );
document.write( "(x+2) - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28x%2B2%29%2A%28x-3%29%29+-+sqrt%28%28x%2B2%29%2A%28x-3%29%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28x%2B2%29%2A%28x-3%29%29+-+sqrt%28%28x%2B2%29%2A%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + (x-3) = (x-6)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Combine like terms, move the radical to right<BR>\n" );
document.write( "x + x -x + 2 - 3 + 6 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2sqrt%28%28x%2B2%29%2A%28x-3%29%29 ALIGN=MIDDLE  ALT=\"2sqrt%28%28x%2B2%29%2A%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ";<BR>\n" );
document.write( "FOIL inside the radical <BR>\n" );
document.write( "x + 5 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2sqrt%28x%5E2+-+x+-+6%29 ALIGN=MIDDLE  ALT=\"2sqrt%28x%5E2+-+x+-+6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "square both sides<BR>\n" );
document.write( "x^2 + 10x + 25 = 4(x^2 - x - 6)<BR>\n" );
document.write( "x^2 + 10x + 25 = 4x^2 - 4x - 24<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Combine like terms on the right<BR>\n" );
document.write( "0 = 4x^2 - x^2 - 4x - 10x - 24 - 25<BR>\n" );
document.write( ":<BR>\n" );
document.write( "3x^2 - 14x - 49 = 0<BR>\n" );
document.write( "Factors to<BR>\n" );
document.write( "(3x + 7)(x - 7) = 0<BR>\n" );
document.write( "positive solution is all want here<BR>\n" );
document.write( "x = + 7<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution in the original equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt+%287%2B2%29+-+sqrt+%287-3%29+=+sqrt+%287-6%29 ALIGN=MIDDLE  ALT=\"sqrt+%287%2B2%29+-+sqrt+%287-3%29+=+sqrt+%287-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "you can see that it checks out </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );