1.

Let w be non-real fifth root of 3 and x=w^(3)+w^(4). If x^(5)=f(x), where f(x) is real quadratic polynominal, with roots alpha " and " beta, (alpha, beta in C), then determine f(x) and answer the following questions. Which of the following is not true?

Answer»

`ALPHA+BETA=-3`
`alpha beta=12//5`
`ABS(alpha-beta)=SQRT(3//5)`
`abs(alpha)+abs(beta)=2sqrt(3//5)`

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