Question 74787
{{{x-sqrt(x)=0}}}
{{{x=sqrt(x)}}}Add {{{sqrt(x)}}} to both sides
{{{x^2=x}}}Square both sides
{{{x^2-x=0}}}Get all terms to one side
{{{x(x-1)=0}}}
{{{x=0}}}
{{{x-1=0}}}
{{{x=1}}}
So the solution is 
{{{x=0}}} and {{{x=1}}} 



b)
{{{ graph( 300, 200, -2, 3, -3, 3, x, sqrt(x)) }}}


c) the intersection of {{{y=x}}} and {{{y=sqrt(x)}}} corresponds to the solutions of {{{x=0}}} and {{{x=1}}} from part a) since the graphs intersect at {{{x=0}}} and {{{x=1}}}. Part a is solving for the equations algebraically and part b solves for the system graphically.