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circumcircle of triangle of roots of cybic in C, z^3 +(-1+i)z^2+(1-i)z+i= 0

Source: Spanish Mathematical Olympiad 1985 P5

August 2, 2018
complex numbersComplex Geometrygeometrycircumcircle

Problem Statement

Find the equation of the circle in the complex plane determined by the roots of the equation z3+(−1+i)z2+(1−i)z+i=0z^3 +(-1+i)z^2+(1-i)z+i= 0.
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