perplexus.info :: Just Math : Form Finding With Factors

Form Finding With Factors (Posted on 2025-03-06)

Each of x, y, z is a distinct real number and n is a positive integer such that:

x²+y²+z²-xy-yz-zx is a factor of (x-y)ⁿ+(y-z)ⁿ+(z-x)ⁿ

Find the form of n.

No Solution Yet Submitted by K Sengupta

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