document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=36576>Question 36576</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3)	For the equation x - 2 sqrt x = 0, perform the following:<BR>\n" );
document.write( "a)	Solve for all values of x that satisfies the equation.<BR>\n" );
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document.write( "b)	Graph the functions y = x and y = 2 sqrt x  on the same graph (by plotting points if necessary). Show the points of intersection of these two graphs.<BR>\n" );
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document.write( "Points of intersection:  <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 #22476 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=22476\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The basic strategy in solving a radical equation is to isolate the radical.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+-+2%2Asqrt%28x%29+=+0 ALIGN=MIDDLE  ALT=\"x+-+2%2Asqrt%28x%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  \r<BR>\n" );
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document.write( "You can do this by adding <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2B2%2A+sqrt%28x%29+ ALIGN=MIDDLE  ALT=\"%2B2%2A+sqrt%28x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > to each side:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=+2%2A+sqrt%28x%29 ALIGN=MIDDLE  ALT=\"x=+2%2A+sqrt%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\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/plot-formula.mpl?expression=x%5E2+=+%282%2Asqrt%28x%29%29%5E2 ALIGN=MIDDLE  ALT=\"x%5E2+=+%282%2Asqrt%28x%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+=+4%2A+x ALIGN=MIDDLE  ALT=\"x%5E2+=+4%2A+x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This is a quadratic equation, so set it equal to zero by subtracting 4x from each side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+4x=+0 ALIGN=MIDDLE  ALT=\"x%5E2+-+4x=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x-4%29+=+0 ALIGN=MIDDLE  ALT=\"x%28x-4%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x=0 or x = 4\r<BR>\n" );
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document.write( "Check for extraneous solutions.  Make sure these answers check!!\r<BR>\n" );
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document.write( "x=0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=+2%2A+sqrt%28x%29 ALIGN=MIDDLE  ALT=\"x=+2%2A+sqrt%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=+2%2A+sqrt%280%29+ ALIGN=MIDDLE  ALT=\"0=+2%2A+sqrt%280%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=2%2A0 ALIGN=MIDDLE  ALT=\"0=2%2A0\"   DISABLED_style= \"max-width:90%; height:auto;\" > It checks!\r<BR>\n" );
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document.write( "x= 4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=+2%2A+sqrt%28x%29+ ALIGN=MIDDLE  ALT=\"x=+2%2A+sqrt%28x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4=+2%2A+sqrt%284%29+ ALIGN=MIDDLE  ALT=\"4=+2%2A+sqrt%284%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  It checks!\r<BR>\n" );
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document.write( "Now graph <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+x ALIGN=MIDDLE  ALT=\"y+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+2%2Asqrt%28x%29 ALIGN=MIDDLE  ALT=\"y+=+2%2Asqrt%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and  find the points of intersection:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph+%28300%2C+300%2C+-6%2C6%2C+-6%2C6%2C+x%2C+2%2Asqrt%28x%29+%29 ALIGN=MIDDLE  ALT=\"+graph+%28300%2C+300%2C+-6%2C6%2C+-6%2C6%2C+x%2C+2%2Asqrt%28x%29+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Notice how the graphs cross at x = 0 and at x = 4.\r<BR>\n" );
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document.write( "R^2 at SCC\r<BR>\n" );
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