If and are the roots of the equations x^2 - 2x + 4 = 0

MATHEMATICS · Subjective · CBSE · Mathematics · Determinants · Determinants

Problem

If α\alpha and β\beta are the roots of the equations x2−2x+4=0, find the value of ∣ΣαΣα2Σα3Σα2Σα3Σα4Σα3Σα4Σα5∣x^2 - 2x + 4 = 0, \text{ find the value of } \begin{vmatrix} \Sigma \alpha & \Sigma \alpha^2 & \Sigma \alpha^3 \\ \Sigma \alpha^2 & \Sigma \alpha^3 & \Sigma \alpha^4 \\ \Sigma \alpha^3 & \Sigma \alpha^4 & \Sigma \alpha^5 \end{vmatrix}

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