The number of zeros of function f (x) = 2x-x & # 178; - 2 / X in (0, + ∞) is?

The number of zeros of function f (x) = 2x-x & # 178; - 2 / X in (0, + ∞) is?

solution
f(x)=2x-x²-2/x=0
x^2-2x=-2/x
(x-1)^2=1-2/x
therefore
1-2/x>=0
x> When x > = 2, (x-1) ^ 2 > 0, there is no solution in [2, + ∞)
And when 0