document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=86210>Question 86210</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0132191415/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> For the equation x - 2 square root x = 0 , perform the following:<BR>\n" );
document.write( "a) Solve for all values of x that satisfies the equation.<BR>\n" );
document.write( "Answer:  <BR>\n" );
document.write( "Show work \r<BR>\n" );
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document.write( "b) Graph the functions y = x and  y = 2 square root X, on the same graph (by plotting points if necessary). Show the points of intersection of these two graphs.<BR>\n" );
document.write( "Graph:<BR>\n" );
document.write( "Thanks in advance for any help.  I can't figure this one out at all.<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 #62364 by </B><A HREF=/tutors/aboutme.mpl?userid=dolly><B>dolly(163)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dolly><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=62364\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) x-2sqrt(x) = 0\r<BR>\n" );
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document.write( "==> sqrt(x) [sqrt(x) - 2] = 0 [taking sqrt(x) common]\r<BR>\n" );
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document.write( "==> sqrt(x) = 0 or sqrt(x) - 2 = 0\r<BR>\n" );
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document.write( "==> x = 0 or sqrt(x) = 2\r<BR>\n" );
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document.write( "==> x = 0 or x = 4 (on squaring)\r<BR>\n" );
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document.write( "So the solution is x = 0 or x = 4\r<BR>\n" );
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document.write( "b) The following graph shows the equations drawn on the same axes.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+x%2C+2sqrt%28x%29%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+x%2C+2sqrt%28x%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The red line shows y = x and the green curve shows y = 2 sqrt(x)\r<BR>\n" );
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document.write( "From the graph also we infer that the equations intersect at x = 0 and x = 4.\r<BR>\n" );
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document.write( "Thus the points of intersection are (0,0) and (4,4) </SPAN>\n" );
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