Q13/085) The sum of all real root of the equation |x-2|^2 + |x-2| - 2= 0 is

Let |x -2 | = t

So t > = 0

t^2 + t – 2 = 0 or (t-1)(t+2) = 0

so t = 1 as – 2 is not possible

|x-2| = 1 or x -2 = 1or -1

So x = 3 or 1 so sum of real roots = 4