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Given : $a + b + c = a^2 + b^2 + c^2 = a^3 + b^3 + c^3 = −2$,

Find $a^4 + b^4 + c^4$

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Homework? There's a tag for that! :) –  Andrea Mori Nov 12 '12 at 9:03
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Ever heard of Newton's Identities?

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