document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=340744>Question 340744</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the radical equation, and check ALL proposed solutions:<BR>\n" );
document.write( "sqrt(x+6) + sqrt(2-x) = 4\r<BR>\n" );
document.write( "\n" );
document.write( "Answer choices:<BR>\n" );
document.write( "A.) {2, -2}<BR>\n" );
document.write( "B.) {0}<BR>\n" );
document.write( "C.) {sqrt(31), -2}<BR>\n" );
document.write( "D.) {-2}<BR>\n" );
document.write( "Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #245891 by </B><A HREF=/tutors/aboutme.mpl?userid=Sphynx+pinastri><B>Sphynx pinastri(7)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Sphynx+pinastri><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=245891\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First, re-write the equation for clarity<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%2B6%29+%2B+sqrt%282-x%29+=+4 ALIGN=MIDDLE  ALT=\"sqrt%28x%2B6%29+%2B+sqrt%282-x%29+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and square both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B6+%2B+2-x+%2B+2sqrt%28%28x%2B6%29%282-x%29%29+=+16 ALIGN=MIDDLE  ALT=\"x%2B6+%2B+2-x+%2B+2sqrt%28%28x%2B6%29%282-x%29%29+=+16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "simplify<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28x%2B6%29%282-x%29%29+=+4 ALIGN=MIDDLE  ALT=\"sqrt%28%28x%2B6%29%282-x%29%29+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and square both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B6%29%282-x%29+=+16 ALIGN=MIDDLE  ALT=\"%28x%2B6%29%282-x%29+=+16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+-+x%5E2+%2B+12+-6x++=+16 ALIGN=MIDDLE  ALT=\"2x+-+x%5E2+%2B+12+-6x++=+16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "simplify<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+4x+%2B+4+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+4x+%2B+4+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "notice that the equation is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%5E2+=+0 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%5E2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "i.e.<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;\" ><BR>\n" );
document.write( "So the answer is D\r<BR>\n" );
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document.write( "In general you get rid of the radicals and solve the resulting equation.<BR>\n" );
document.write( "When the equation cannot be easily solved, try to guess the rational roots<BR>\n" );
document.write( "and simplify the equation.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );