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2x3+x2−7=0\large 2x^3 + x^2 - 7 = 0 2x3+x2−7=0
If α,β,γ\alpha, \beta, \gammaα,β,γ are the roots of the above equation, evaluate
∣∑cyc(αβ+βα)∣\large \left | \displaystyle \sum_{\text{cyc}} \left( \dfrac{\alpha}{\beta} + \dfrac{\beta}{\alpha} \right )\right| ∣∣∣∣∣∣cyc∑(βα+αβ)∣∣∣∣∣∣
Note
∣z∣|z|∣z∣ is the absolute value of zzz
∑cyc\displaystyle \sum_{\text{cyc}}cyc∑ means cyclic summation.
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