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If `alpha, beta, gamma` are the roots of `x^(3) + x^(2) + x + 1 = 0` then `(alpha - beta)^(2) + (beta - gamma)^(2) + (gamma - alpha)^(2) ` =

A

2

B

`-2`

C

4

D

`-4`

Text Solution

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The correct Answer is:
4
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DIPTI PUBLICATION ( AP EAMET)-THEORY OF EQUATIONS-EXERCISE 1A
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  15. The sum of the fifth powers of the roots of the equation x^(4) - 3x^(3...

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  16. If alpha, beta ,gamma, delta are the roots of the equation x^(4) - x^(...

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