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Omni-MATH / Suppose a,b, and c are complex numbers satisfying begin{aligned} a^{2} & =b-c b^{2} & =c-a, text { and } c^{2} & =a-b end{aligned} Compute all possible values of a+b+c.

Problem

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problem

Suppose a,ba, b, and cc are complex numbers satisfying $$\begin{aligned} a^{2} & =b-c \\ b^{2} & =c-a, \text { and } \\ c^{2} & =a-b \end{aligned}$$ Compute all possible values of a+b+ca+b+c.
Plain-text mathematical notation (without MathML)
Suppose a,b, and c are complex numbers satisfying $$\begin{aligned} a^{2} & =b-c \\ b^{2} & =c-a, \text { and } \\ c^{2} & =a-b \end{aligned}$$ Compute all possible values of a+b+c.
Original LaTeX notation
Suppose $a, b$, and $c$ are complex numbers satisfying $$\begin{aligned} a^{2} & =b-c \\ b^{2} & =c-a, \text { and } \\ c^{2} & =a-b \end{aligned}$$ Compute all possible values of $a+b+c$.

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Source and history

task_id
e0ab15f6-aa90-5417-a0c3-b19e62a97157
task_key
test--e0ab15f6-aa90-5417-a0c3-b19e62a97157
task_revision_id
1
config / split
/ test

Official source

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