Complex System with Modulus Constraint

1925SpecialistComplex NumbersSystems Of Equations

66. matematično tekmovanje srednješolcev Slovenije

Find all pairs of complex numbers $z$ and $w$ that solve the system of equations $$ \begin{aligned} w^{2} & =63+16 i \\ 2 z-i|z| & =w \end{aligned} $$

0 students attempted0% solvedRating 1925

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Complex System with Modulus Constraint

1925SpecialistComplex NumbersSystems Of Equations

66. matematično tekmovanje srednješolcev Slovenije

Find all pairs of complex numbers $z$ and $w$ that solve the system of equations $$ \begin{aligned} w^{2} & =63+16 i \\ 2 z-i|z| & =w \end{aligned} $$

0 students attempted0% solvedRating 1925