Given the set a = {X & sup2;, x, XY}, B = {1, x, y}, and a = B, find the values of real numbers x and y

A=｛x²,x,xy｝,B=｛1,x,y｝
X & sup2; = 1, xy = y → x = 1 or x = - 1, y = 0
Or X & sup2; = y, xy = 1 → x = 1
X = 1 → X & sup2; = x, no solution
So x = - 1, y = 0

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