Correct Answer - Option 2 : 0

**Calculaton**

2x + 2-x = 2 - (x - 2)^{2}

⇒ 2^{x} + 1/2^{x} = 2 - (x - 2)^{2}

⇒ By putting options

⇒ x = 1 then 2^{1} + 2^{-1} = 2 - (1 - 2)^{2}

⇒ 2 + 0.5 = 2 - 1

⇒ LHS is not equal to RHS

⇒ when x = 2

⇒ 2^{2} + 1/2^{2} = 2 - (2 -2)^{2}

⇒ 4 + 0.25 = 2

⇒ LHS is not equal to RHS

**⇒ Hence this equation has 0 solution**