document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=859045>Question 859045</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This is a calculus problem. Consider the graph of y= root x. There is some point on this graph that is closest to (4,0). What is the x-coordinate of that nearest point? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #517529 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=517529\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-2%2C8%2C-5%2C5%2Cgrid%281%29%2Ccircle%284%2C0%2C0.2%29%2Ccircle%283%2Csqrt%283%29%2C0.2%29%2Cline%284%2C0%2C3%2Csqrt%283%29%29%2Cgraph%28300%2C300%2C-2%2C8%2C-5%2C5%2Csqrt%28x%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use the distance formula to calculate the distance from (4,0) to any arbitrary point on the curve (x,y).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5E2=%28x-4%29%5E2%2B%28y-0%29%5E2 ALIGN=MIDDLE  ALT=\"D%5E2=%28x-4%29%5E2%2B%28y-0%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=D%5E2=%28x-4%29%5E2%2By%5E2 ALIGN=MIDDLE  ALT=\"D%5E2=%28x-4%29%5E2%2By%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From the function,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=sqrt%28x%29 ALIGN=MIDDLE  ALT=\"y=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=y%5E2=x ALIGN=MIDDLE  ALT=\"y%5E2=x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5E2=%28x-4%29%5E2%2Bx ALIGN=MIDDLE  ALT=\"D%5E2=%28x-4%29%5E2%2Bx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5E2=%28x%5E2-8x%2B16%29%2Bx ALIGN=MIDDLE  ALT=\"D%5E2=%28x%5E2-8x%2B16%29%2Bx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=D%5E2=x%5E2-7x%2B16 ALIGN=MIDDLE  ALT=\"L=D%5E2=x%5E2-7x%2B16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "To minimize the distance,you can also minimize the distance squared. So take the derivative of the distance squared with respect to x and set it to zero.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dL%2Fdx=2x-7 ALIGN=MIDDLE  ALT=\"dL%2Fdx=2x-7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-7=0 ALIGN=MIDDLE  ALT=\"2x-7=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=7 ALIGN=MIDDLE  ALT=\"2x=7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=7%2F2 ALIGN=MIDDLE  ALT=\"x=7%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );