Let | Z | denote the distance from the point corresponding to complex Z in the plane to the origin. Given | Z | = 2 + z-4i, find complex Z

Let | Z | denote the distance from the point corresponding to complex Z in the plane to the origin. Given | Z | = 2 + z-4i, find complex Z

Let z = x + Yi, from the condition | Z | = 2 + z-4i, we know that sqrt (x ^ 2 + y ^ 2) = 2 + X + (y-4) I
So y-4 = 0,2 + x = sqrt (x ^ 2 + y ^ 2)
We obtain x = 3, y = 4, that is Z = 3 + 4I

Elden Ring Premiere

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