Complex number distance conditions real part

1550AdeptComplex NumbersAlgebra

HMMT November 2018 · 2018

Let $z$ be a complex number. In the complex plane, the distance from $z$ to $1$ is $2$, and the distance from $z^{2}$ to $1$ is $6$. What is the real part of $z$?

0 students attempted0% solvedRating 1550

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Complex number distance conditions real part

1550AdeptComplex NumbersAlgebra

HMMT November 2018 · 2018

Let $z$ be a complex number. In the complex plane, the distance from $z$ to $1$ is $2$, and the distance from $z^{2}$ to $1$ is $6$. What is the real part of $z$?

0 students attempted0% solvedRating 1550