Mathematics · 2022
JEE Main · 27 June 2022, Shift 1 · Q22
If the sum of all the roots of the equation e^2 x-11 e^x-45 e^-x+81/2=0 is log_e p, then p is equal to \ \ \ \.
If the sum of all the roots of the equation $\displaystyle \mathrm{e}^{2 x}-11 \mathrm{e}^x-45 \mathrm{e}^{-x}+\frac{81}{2}=0$ is $\displaystyle \log _{\mathrm{e}} \mathrm{p}$, then p is equal to \_\_\_\_.
Official answer
45
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.