document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=407824>Question 407824</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the radical equation<BR>\n" );
document.write( "sqrt(x+5)+1=x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #287468 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=287468\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the radical equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%2B5%29%2B1+=+x ALIGN=MIDDLE  ALT=\"sqrt%28x%2B5%29%2B1+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtract 1 from both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%2B5%29+=+x+-+1 ALIGN=MIDDLE  ALT=\"sqrt%28x%2B5%29+=+x+-+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Square both sides<BR>\n" );
document.write( "x + 5 = (x-1)^2<BR>\n" );
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document.write( "FOIL (x-1)(x-1)<BR>\n" );
document.write( "x + 5 = x^2 - 2x + 1<BR>\n" );
document.write( "0 = x^2 - 2x - x + 1 - 5<BR>\n" );
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document.write( "A quadratic equation<BR>\n" );
document.write( "x^2 - 3x - 4 = 0<BR>\n" );
document.write( "factor to:<BR>\n" );
document.write( "(x-4)(x+1) = 0<BR>\n" );
document.write( "Two solutions<BR>\n" );
document.write( "x = 4<BR>\n" );
document.write( "x = -1 <BR>\n" );
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document.write( "Check both solutions in the original equaiton<BR>\n" );
document.write( "x=4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%284%2B5%29%2B1+=+4 ALIGN=MIDDLE  ALT=\"sqrt%284%2B5%29%2B1+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >; a good solution<BR>\n" );
document.write( "and<BR>\n" );
document.write( "x=-1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28-1%2B5%29%2B1+=+-1 ALIGN=MIDDLE  ALT=\"sqrt%28-1%2B5%29%2B1+=+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%284%29%2B1+=+-1 ALIGN=MIDDLE  ALT=\"sqrt%284%29%2B1+=+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >; not true,  x=-1 is not a good solution </SPAN>\n" );
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