Question 63621
{{{x-sqrt(x)-0}}} I think you meant the second - to be =.
sovle for all values of x that satisfies the equation.
answer:
x=0 and x=1

show work
{{{x-sqrt(x)=0}}}
{{{x-sqrt(x)+sqrt(x)=0+sqrt(x)}}}
{{{x=sqrt(x)}}}
{{{x^2=(sqrt(x))^2}}}
{{{x^2=x}}}
{{{x^2-x=x-x}}}
{{{x^2-x=0}}}
{{{x(x-1)=0}}}
x=0 and x-1=0
x=0 and x-1+1=0+1
x=0 and x=1
Check:
For x=0
{{{(0)-sqrt(0)=0}}}
{{{0-0=0}}}
{{{0=0}}} x=0 works!!!
For x=1
{{{(1)-sqrt(1)=0}}}
{{{1-1=0}}}
{{{0=0}}} x=1 also checks!
Happy Calculating!!!