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Algebra Level 4

If α , β , γ \alpha ,\beta ,\gamma are the roots of the cubic equation x 3 − 5 x 2 + 6 x − 4 = 0 x^{3}-5x^2+6x-4=0 , then the value of summation ∑ sym α 2 β \displaystyle \sum_{\text{sym}} \alpha^{2} \beta .


The answer is 18.

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Keshav Tiwari by Keshav Tiwari , 23, India

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1 solution

Ashik Muhammad
Oct 28, 2015

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