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PIMSO 2022 - Mathematics - Senior Secondary - National Round Question 14

PIMSO Maths · PIMSO 2022 - Mathematics - Senior Secondary - National Round

Question 14

Let $e$ be Euler’s constant, an irrational number equal to $2.71828\ldots$. Let $e^2$ and $e$ be the roots of $x^2-bx+c=0$. Find the real number $b+c$.

Input format: use pi, sqrt(...), ^ for powers, * for multiplication and / for division as needed.