Question

The product of all the solutions of the equation (x-2)²-3|x-2|+2=0 is
(A) 2
(B) -4
(C) 0
(D) None

please answer this with explaination​

Answer 1

Answer:

(x^2+4-4x-3)(x-2) +2= 0

(x^2-4x+1)(x-2)+2=0

x^3-2x^2-4x^2+8x+x-2=0

x^3-6x^2+9x-2=0

therefore,

none is right answer