document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1196335>Question 1196335</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could you please help me with this equation? The solution manual says the answer is x=1 but I am getting x = 1 and x= - 4. <BR>\n" );
document.write( "Could you please help me understand why - 4 is not a solution? I checked it and it doesn't seem to be an extraneous solution. Would be a huge help if you could please include an explanation for the steps. <BR>\n" );
document.write( "Would greatly appreciate your help.\r<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 #829123 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52781)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=829123\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "It is &nbsp;BECAUSE &nbsp;if you substitute &nbsp;x= -4 &nbsp;into left side expression,\r<BR>\n" );
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document.write( "you will get the number under square root  &nbsp;&nbsp;(-4)^2 +5*(-4) = 16 - 20 = -4.\r<BR>\n" );
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document.write( "But negative numbers are not allowed under square root - - - THEREFORE, &nbsp;we &nbsp;REJECT &nbsp;&nbsp;x= - 4.  \r<BR>\n" );
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document.write( "The same is with the right side expression: &nbsp;it does not allow &nbsp;x= -4.\r<BR>\n" );
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document.write( "So, &nbsp;x= -4 &nbsp;is an extraneous solution.\r<BR>\n" );
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document.write( "Hope, &nbsp;everything is clear now.\r<BR>\n" );
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