Question 57296
For the equation x - 2 square root of x = 0, solve for all values of x that satisfies the equation.
:
{{{x - 2*sqrt(x) = 0 }}}
{{{x = +2*sqrt(x)}}}
Square both sides and you have:
{{{x^2 = 4*x}}}
{{{x^2 - 4x = 0}}}
Factor:
x(x-4) = 0
:
x = 0
and
x = +4
:
:
Graph the functions y = x and y = 2 square root of x on the same graph,by plotting points if necessary. Show the points of intersection of these two graphs.
:
You should know that when y = x  you plot a 45 degree line going through the
origin. ie x=0, y=0; x=1, y=1; x=2, y=2, etc  
:
Plot y = 2*SqRt(x)
:
Calculate y for each value of x, I gave  the integer value: plot these:
 x | y c
-------
 0 | 0
 1 | 2
 4 | 4
 9 | 6
:
When you plot these two graphs, Note that the two graphs intersect at two points. When x = 0 and x = 4