document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=358678>Question 358678</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, Can someone please help me? I have to show all my work, and I don't even know how to work these problems. Any assistance you can provide is greatly appreciated. \r<BR>\n" );
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document.write( "Solve each radical equation: \r<BR>\n" );
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document.write( "X= &#8730;(3x+7) - 3<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #255996 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=255996\">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( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x\ =\ \sqrt{3x\ +\ 7}\ -\ 3\">\r<BR>\n" );
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document.write( "If possible, get the radical by itself on one side of the equation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x\ +\ 3\ =\ \sqrt{3x\ +\ 7}\">\r<BR>\n" );
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document.write( "Now square both sides:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x^2\ +\ 6x\ +\ 9\ =\ 3x\ +\ 7\">\r<BR>\n" );
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document.write( "Collect like terms and put the quadratic into standard form:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x^2\ +\ 3x\ +\ 2\ =\ 0\">\r<BR>\n" );
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document.write( "Now just factor your quadratic and solve.  As usual with quadratics you will get two roots.  Check both of them in the original equation to ensure that you didn't introduce an extraneous root in the process of squaring when you solved the equation.\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" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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