document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=85463>Question 85463</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, I've been trying to solve this equation but it seems I can only get down to simplifying it. Please help =)\r<BR>\n" );
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document.write( "SOLVE THE EQUATION SYMBOLICALLY\r<BR>\n" );
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document.write( "sqrt(x+6) + sqrt(2-x) = 4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #61687 by </B><A HREF=/tutors/aboutme.mpl?userid=scianci><B>scianci(186)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scianci><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=61687\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Isolate the radicals by subtracting one of them from both sides:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%28x%2B6%29%29 ALIGN=MIDDLE  ALT=\"%28sqrt%28x%2B6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 4 - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%282-x%29%29 ALIGN=MIDDLE  ALT=\"%28sqrt%282-x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <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%2B6%29%29%5E2 ALIGN=MIDDLE  ALT=\"%28sqrt%28x%2B6%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = (4 - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%282-x%29%29 ALIGN=MIDDLE  ALT=\"%28sqrt%282-x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >)^2<BR>\n" );
document.write( "x + 6 = 16 - 8<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282-x%29%29 ALIGN=MIDDLE  ALT=\"sqrt%282-x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 2-x<BR>\n" );
document.write( "x + 6 = 18 - 8<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282-x%29%29 ALIGN=MIDDLE  ALT=\"sqrt%282-x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-x<BR>\n" );
document.write( "Isolate the remaining radical:<BR>\n" );
document.write( "x + x + 6 - 18 = - 8<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282-x%29%29 ALIGN=MIDDLE  ALT=\"sqrt%282-x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2x-12 = - 8<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282-x%29%29 ALIGN=MIDDLE  ALT=\"sqrt%282-x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Square both sides again:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x-12%29%5E2 ALIGN=MIDDLE  ALT=\"%282x-12%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = (- 8<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%282-x%29%29 ALIGN=MIDDLE  ALT=\"%28sqrt%282-x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >)^2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2 ALIGN=MIDDLE  ALT=\"4x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > - 48x + 144 = 64(2 - x)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2 ALIGN=MIDDLE  ALT=\"4x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >-48x+144 = 128-64x<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2 ALIGN=MIDDLE  ALT=\"4x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >+16x+16 = 0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 4x + 4 = 0<BR>\n" );
document.write( "(x + 2)(x + 2) = 0<BR>\n" );
document.write( "x + 2 = 0<BR>\n" );
document.write( "x = -2 [potentially]<BR>\n" );
document.write( "Check for extraneous solutions:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%28-2%2B6%29%29 ALIGN=MIDDLE  ALT=\"%28sqrt%28-2%2B6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 4 - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%282-%28-2%29%29%29 ALIGN=MIDDLE  ALT=\"%28sqrt%282-%28-2%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%284%29%29 ALIGN=MIDDLE  ALT=\"%28sqrt%284%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 4 - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%284%29%29 ALIGN=MIDDLE  ALT=\"%28sqrt%284%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ?<BR>\n" );
document.write( "2 = 4 - 2 ?<BR>\n" );
document.write( "2 = 2 ; OK<BR>\n" );
document.write( "x = -2 is a valid solution </SPAN>\n" );
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