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If a + b + c = 1, a^2 + b^2 + c^2 = 2, a...

If `a + b + c = 1`, `a^2 + b^2 + c^2 = 2`, `a^3 + b^3 + c^3 = 3` then prove that `a^4 + b^4 + c^4=4(1/6)`

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