If the sum of all the roots of the equation e^ 2x − 11e^ x - 45e^ -x + 81/2 = 0 is log_e p, the p is equal to _____.

JEE Main 2022 Mathematics question

If the sum of all the roots of the equation − is p, the p is equal to .

Answer: 45

Put : − 45/t + 81/2 = 0, i.e. . This cubic has three positive roots , ,

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Question ID VK-034617