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Inspired by Siddharth Bhatt

Algebra Level 2

If

\[ \frac{x}{y} + \frac{y}{z} + \frac{z}{x} = 0, \]

which of the following is true?

\[ x^2 y + y^2z + z^2 x = 0 \] \[ x + y + z = 0 \] \[x^3 + y^3 + z^3 = 0 \] \[xy^2 + yz^2 + zx^2 = 0 \]

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Excel in math and science

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by Chung Kevin

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