document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=56676>Question 56676</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For the equation x-2sqrx=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 in this space.<BR>\n" );
document.write( " \r<BR>\n" );
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document.write( "b) 	Graph the functions y = x and y=2sqrx  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" );
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document.write( "Points of intersection:  \r<BR>\n" );
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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 #38467 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=38467\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For the equation <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;\" > , perform the following:<BR>\n" );
document.write( "a) 	Solve for all values of x that satisfies the equation.<BR>\n" );
document.write( "Answer:  x={0,4}<BR>\n" );
document.write( "Show work in this space.<BR>\n" );
document.write( "<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;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-2%2Asqrt%28x%29%2B2%2Asqrt%28x%29=0%2B2%2Asqrt%28x%29 ALIGN=MIDDLE  ALT=\"x-2%2Asqrt%28x%29%2B2%2Asqrt%28x%29=0%2B2%2Asqrt%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=x=2%2Asqrt%28x%29 ALIGN=MIDDLE  ALT=\"x=2%2Asqrt%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=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=4x ALIGN=MIDDLE  ALT=\"x%5E2=4x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-4x=4x-4x ALIGN=MIDDLE  ALT=\"x%5E2-4x=4x-4x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-4x=0 ALIGN=MIDDLE  ALT=\"x%5E2-4x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0 ALIGN=MIDDLE  ALT=\"x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-4=0 ALIGN=MIDDLE  ALT=\"x-4=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4 ALIGN=MIDDLE  ALT=\"x=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Check for extraneous solutions:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280%29-2%2Asqrt%280%29=0 ALIGN=MIDDLE  ALT=\"%280%29-2%2Asqrt%280%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0-0=0 ALIGN=MIDDLE  ALT=\"0-0=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=0 ALIGN=MIDDLE  ALT=\"0=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > x=0 checks.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%29-2%2Asqrt%284%29=0 ALIGN=MIDDLE  ALT=\"%284%29-2%2Asqrt%284%29=0\"   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%282%29=0 ALIGN=MIDDLE  ALT=\"4-2%282%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4-4=0 ALIGN=MIDDLE  ALT=\"4-4=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=0 ALIGN=MIDDLE  ALT=\"0=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > x=4 checks also.<BR>\n" );
document.write( " <BR>\n" );
document.write( "b) 	Graph the functions y = x and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2sqrt%28x%29 ALIGN=MIDDLE  ALT=\"y=2sqrt%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  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( " <BR>\n" );
document.write( "Points of intersection: (0,0) and (4,4)  <BR>\n" );
document.write( "For y=x<BR>\n" );
document.write( "Let x=0, solve for y<BR>\n" );
document.write( "y=0, plot (0,0)<BR>\n" );
document.write( "Let x=4, solve for y<BR>\n" );
document.write( "y=4, plot (4,4)<BR>\n" );
document.write( "Connect the dots and you have a line.<BR>\n" );
document.write( "For <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;\" ><BR>\n" );
document.write( "Let x=0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2%2Asqrt%280%29 ALIGN=MIDDLE  ALT=\"y=2%2Asqrt%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=y=2%280%29 ALIGN=MIDDLE  ALT=\"y=2%280%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y=0, Plot (0,0)<BR>\n" );
document.write( "Let x=1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2%2Asqrt%281%29 ALIGN=MIDDLE  ALT=\"y=2%2Asqrt%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2%281%29 ALIGN=MIDDLE  ALT=\"y=2%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2 ALIGN=MIDDLE  ALT=\"y=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, plot (1,2)<BR>\n" );
document.write( "Let x=4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2%2Asqrt%284%29 ALIGN=MIDDLE  ALT=\"y=2%2Asqrt%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2%2A2 ALIGN=MIDDLE  ALT=\"y=2%2A2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y=4, plot (4,4)<BR>\n" );
document.write( "Connect the dots and you have a curve.<BR>\n" );
document.write( "Their points of intersections are (0,0) and (4,4)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cx%2C2%2Asqrt%28x%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cx%2C2%2Asqrt%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Happy Calculating!!!!<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );