document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=24998>Question 24998</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.	Is &#8730;x ^2 = x an identity (true for all values of x)?\r<BR>\n" );
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document.write( "Explain the answer\r<BR>\n" );
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document.write( "2.	For the equation x - &#8730;x = 0 perform the following <BR>\n" );
document.write( "        a.     Solve for all values of x that satisfies the equation.<BR>\n" );
document.write( "        b.     graph the functions y = x and y = &#8730; x on the same graph (by plotting points)  <BR>\n" );
document.write( "        <BR>\n" );
document.write( "How does the graph relate to part a?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #13397 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=13397\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. No, sqrt[(-3)^2] is not -3<BR>\n" );
document.write( "2. a. x-sqrt(x) =0<BR>\n" );
document.write( "      x = sqrt (x)<BR>\n" );
document.write( "Square both sides to get:<BR>\n" );
document.write( "    x^2 = x<BR>\n" );
document.write( "    x^2-x=0<BR>\n" );
document.write( "   x(x-1)=0<BR>\n" );
document.write( "   x =0 or x=1<BR>\n" );
document.write( "  b. That's a good way to solve an equation. Graph the <BR>\n" );
document.write( "left side of the equation, i.e. y=x and the right side<BR>\n" );
document.write( "y=sqrtx and see where they intersect. The x-value of the<BR>\n" );
document.write( "points of intersection will be the potential answers to <BR>\n" );
document.write( "the problem.  It is possible that a particular answer <BR>\n" );
document.write( "will be extraneous so potential answers need to be checked<BR>\n" );
document.write( "in the original equation.\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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