The set of all real roots of the equation x & sup2; = x How to solve the equation x & sup2; = x is to write out the steps! Why a 0, a 1?

The set of all real roots of the equation x & sup2; = x How to solve the equation x & sup2; = x is to write out the steps! Why a 0, a 1?

X²=X
X²-X=0
X(X-1)=0
have to
X = 0 or X-1 = 0
therefore
X1=0,X2=1