Shokal and Shishir were talking about their ages.
Shokal said, "My age is the root of a polynimial".
After seeing the polynomial $P(n)$, Shishir told, "Your Age is $7$ years".
Then again Shishir told"Oh, I have made a mistake. Actually $P(7)$=77."
Shokal told, "Yes, My age is much more than that".
Shishir came up with another number, $k$, and after telling that he understood that he was wrong, as $P(k)=85$. Find Shokal's age.
AGE... (Again!)
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Please don't post problems (by starting a topic) in the "X: Solved" forums. Those forums are only for showcasing the problems for the convenience of the users. You can always post the problems in the main Divisional Math Olympiad forum. Later we shall move that topic with proper formatting, and post in the resource section.
Re: AGE... (Again!)
First of all, $P(n)$ is a polynomial makes no sense if its not with integer coefficients. Only when all the coefficients are integer, there will be valid answer.bristy1588 wrote:Shokal and Shishir were talking about their ages.
Shokal said, "My age is the root of a polynimial".
After seeing the polynomial $P(n)$, Shishir told, "Your Age is $7$ years".
Then again Shishir told"Oh, I have made a mistake. Actually $P(7)$=77."
Shokal told, "Yes, My age is much more than that".
Shishir came up with another number, $k$, and after telling that he understood that he was wrong, as $P(k)=85$. Find Shokal's age.
So, hint:
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Nur Muhammad Shafiullah | Mahi
Use $L^AT_EX$, It makes our work a lot easier!
Nur Muhammad Shafiullah | Mahi