troubleshooting Question

The Powers that be.

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BigRatFlag for France asked on
Math / Science
16 Comments1 Solution205 ViewsLast Modified:
Rooting through my old school books I found this old gem. The solution is pretty obvious but proving it elegantly is quite a challenge, so here goes.

Assuming none are zero, solve the following equations for a,b and c.

a + b + c = 2
a² + b² + c² = 6
a³ + b³ + c³ = 8

as usual the most elegant solution gets the cheese.

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