Question 82535
a) Solve for all values of x that satisfies the equation.

{{{x - sqrt(x) = 0}}}
.
{{{(x - sqrt(x))(x + sqrt(x)) = (0)(x + sqrt(x))}}}
.
{{{x^2 - x  = 0}}}
.
{{{x(x - 1) = 0}}}
.
{{{x = 0}}} and {{{x = 1}}}

b) Graph the functions y=x and y=√x on the same graph (by plotting points if necessary). Show the points of intersection of these two graphs.
(0,0) and (1,1)
{{{graph(300,300,-2,2,-2,2,x,sqrt(x))}}}

c) How does the graph relate to part a?

{{{x - sqrt(x) = 0}}}
.
{{{x = sqrt(x)}}}
When y = x and y = {{{sqrt(x)}}} intersect, the value or values for {{{x}}} is or are the solution(s).