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Quadratic Equation And Inequalities

JEE Main 2022 (Online) 29th July Evening Shift

INTEGER+4 / -12022

\(n \in N\) এর জন্য, ধরি \(\alpha ,\beta (\alpha > \beta )\), সমীকরণ \({x^2} - x - 4 = 0\) এর দুটি বীজ। যদি \({P_n} = {\alpha ^n} - {\beta ^n}\), তবে \({{{P_{15}}{P_{16}} - {P_{14}}{P_{16}} - P_{15}^2 + {P_{14}}{P_{15}}} \over {{P_{13}}{P_{14}}}}\) এর মান হবে ____________ ।

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