. Then, for x>2 the equation becomes (x−2)2+(x−2)−2=0 ⇒x2−3x=0 ⇒x=0,3 Thus, the root of the equation for x>2 is 3 . For x<0, the equation becomes (x−2)2+(2−x)−2=0 ⇒x2−5x+4=0 ⇒(x−4)(x−1)=0 ⇒x=4,1 The root which is less 'than 2 is 1 .
Thus, the roots of given equations are 3,1 . Sum will be 3+1=4