SOLUTION: x-√x-0, perform the following: sovle for all values of x that satisfies the equation. answer: show work

Algebra ->  Algebra  -> Radicals -> SOLUTION: x-√x-0, perform the following: sovle for all values of x that satisfies the equation. answer: show work       Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 63621: x-√x-0, perform the following:
sovle for all values of x that satisfies the equation.
answer:
show work

Answer by funmath(2873) About Me  (Show Source):
You can put this solution on YOUR website!
x-sqrt%28x%29-0 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%28x%29=0
x-sqrt%28x%29%2Bsqrt%28x%29=0%2Bsqrt%28x%29
x=sqrt%28x%29
x%5E2=%28sqrt%28x%29%29%5E2
x%5E2=x
x%5E2-x=x-x
x%5E2-x=0
x%28x-1%29=0
x=0 and x-1=0
x=0 and x-1+1=0+1
x=0 and x=1
Check:
For x=0
%280%29-sqrt%280%29=0
0-0=0
0=0 x=0 works!!!
For x=1
%281%29-sqrt%281%29=0
1-1=0
0=0 x=1 also checks!
Happy Calculating!!!