Complex Number Modulus Equation

1800SpecialistComplex NumbersAlgebra

Berkeley Math Circle: Monthly Contest 4

Determine all complex numbers $w$ such that $$ 10|w|^{2}=2|w+2|^{2}+\left|w^{2}+1\right|^{2}+20 . $$

0 students attempted0% solvedRating 1800

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1800SpecialistComplex NumbersAlgebra

Berkeley Math Circle: Monthly Contest 4

Determine all complex numbers $w$ such that $$ 10|w|^{2}=2|w+2|^{2}+\left|w^{2}+1\right|^{2}+20 . $$

0 students attempted0% solvedRating 1800