document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=235956>Question 235956</A>: <I><SPAN STYLE=\"word-break: break-all;\"> HELP!!! Radicals!!!!\r<BR>\n" );
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document.write( "what is 2 sq root x-1 + 2 sq root x+4= 5. Please explain steps </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #173742 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=173742\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "I'm guessing you mean:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 2\sqrt{x\ -\ 1}\ +\ 2\sqrt{x\ +\ 4}\ =\ 5\">\r<BR>\n" );
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document.write( "Square both sides:  (use the FOIL process on the LHS)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 4(x\ -\ 1) + 8\sqrt{(x-1)(x+4)}\ + 4(x\ + 4)\ =\ 25\">\r<BR>\n" );
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document.write( "Collect like terms and leave the radical term in the LHS and everything else in the RHS:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 8\sqrt{(x-1)(x+4)}\ =\ -8x\ +\ 13\">\r<BR>\n" );
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document.write( "(Verification of that last step is left as an exercise for the student)\r<BR>\n" );
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document.write( "Square both sides again\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 64(x\ -\ 1)(x\ +\ 4)\ = 64x^2\ -\ 208x\ + 169\">\r<BR>\n" );
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document.write( "Expand the binomial multiplication in the LHS:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 64x^2\ +\ 192x\ -\ 256\ = 64x^2\ -\ 208x\ + 169\">\r<BR>\n" );
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document.write( "And collect terms:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 400x\ =\ 425\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x\ =\ \frac{17}{16}\">\r<BR>\n" );
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document.write( "Check:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 2\sqrt{\left(\frac{17}{16}\right)\ -\ 1}\ +\ 2\sqrt{\left(\frac{17}{16}\right)\ +\ 4}\ =^?\ 5\">\r<BR>\n" );
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document.write( "You can do the arithmetic to see if it is right or not.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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