document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=274969>Question 274969</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve this equation.<BR>\n" );
document.write( "sqrt(4z+1)=3+sqrt(4z-2) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #200634 by </B><A HREF=/tutors/aboutme.mpl?userid=user_dude2008><B>user_dude2008(1862)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=user_dude2008><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=200634\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> sqrt(4z+1)=3+sqrt(4z-2)\r<BR>\n" );
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document.write( "4z+1=(3+sqrt(4z-2))^2\r<BR>\n" );
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document.write( "4z+1=9+6*sqrt(4z-2)+4z-2\r<BR>\n" );
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document.write( "-6=6*sqrt(4z-2)\r<BR>\n" );
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document.write( "-1=sqrt(4z-2)\r<BR>\n" );
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document.write( "1=4z-2\r<BR>\n" );
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document.write( "4z=3\r<BR>\n" );
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document.write( "z=3/4\r<BR>\n" );
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document.write( "Check:\r<BR>\n" );
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document.write( "sqrt(4z+1)=sqrt(4(3/4)+1)=sqrt(3+1)=sqrt(4)=2\r<BR>\n" );
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document.write( "3+sqrt(4z-2)=3+sqrt(4(3/4)-2)=3+sqrt(3-2)=3+sqrt(1)=4\r<BR>\n" );
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document.write( "---> Contradiction\r<BR>\n" );
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document.write( "Answer: No Solutions </SPAN>\n" );
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