tough n confusing

[Ramit88]

For all integers n, n*=n (n-1). What is the value of x*?

(1.) X*=X
(2.) (X - 1 ) * = (X - 2)

[arora007]

according to 1)
x* =x
x(x-1) = x

thus x^2 -x =x
=> x^2 -2x = 0
=> x(x-2)=0
INSUFFICIENT

(X - 1 ) * = (X - 2)

(X-1)(X-2) =(X-2)
X^2 -3X +2 =X-2
X^2 -4X +4 =0
(X-2)^2=0

SUFFICIENT

answer is B

[nehatandon]

according to 1)
x* =x
x(x-1) = x

thus x^2 -x =x
=> x^2 -2x = 0
=> x(x-2)=0
INSUFFICIENT

(X - 1 ) * = (X - 2)

(X-1)(X-2) =(X-2)
X^2 -3X +2 =X-2
X^2 -4X +4 =0
(X-2)^2=0

SUFFICIENT

answer is B

perfect solution, arora007!