Q.If $z = x + iy$ ( $x,y$ integers) satisfies $z \bar{z}^3 + \bar{z} z^3 = 350$ , then the area of the rectangle with vertices at the roots is

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Q.If z=x+iyz = x + iyz=x+iy (x,yx,yx,y integers) satisfies zzˉ3+zˉz3=350z \bar{z}^3 + \bar{z} z^3 = 350zzˉ3+zˉz3=350, then the area of the rectangle with vertices at the roots is