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{\Large NMU Math \& CS Department} \\
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{\Large Problem of the Month, Februrary 2025}
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\paragraph{} Enjoy the Februrary problem of the month!
\paragraph{} See next page for rules and information.

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\paragraph{} Let $n$ be an integer. Find all real values of $x$ that solve the equation:

$$x^{n}+\displaystyle \frac{1}{x^{n}}=2025.$$

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\paragraph{} The NMU Mathematics and Computer Science Department invites you to participate in the 2024/2025 Problem of the Month contest to have some fun and get a little recognition. There are paper copies of the problems available at the department front desk if you'd like.

\paragraph{} \textbf{Rules:} Anyone is welcome to submit a solution, and all correct solutions will be recognized; but only undergraduates enrolled in coursework at NMU are eligible to win the prize at the end of the year. The first student to submit a correct solution is the winner of the month. The top problem solver for the academic year will receive a fabulous prize, and be recognized at the department year-end celebration. You must write clear and complete solutions to the problems. You must include your name, NMU IN, address, phone, email, and exact date/time of your submission. You may either submit in person at the department front desk (use a staple if there are multiple pages), or email your solution in \texttt{pdf} format to \texttt{darowe@nmu.edu}.



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