Cubic Function Increasing Decreasing Root

If the function f given by f(x) = x3 –3(a – 2) x2 +3ax + 7, for some a ∊ R is increasing in (0, 1] anddecreasing in [1, 5), then a root of the equation,

f(x)−14

(x−1)2

= 0 (x ≠ 1) is :