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Hello everyone,
Here is this week's problem.
Find all positive integers $n$ such that $n^2 + 12n$ is a perfect square.
Hint: Try to write the expression as a difference of two squares, then think about the factors of a number.
Please post your full solution and explain each step. Different methods are welcome. Good luck!
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The website was created in September 2005.
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In 2011 was created a Russian version, and in 2015 Serbian.
It is visited by 25,000 - 35,000 people daily, mostly from USA, Bulgaria, Russia, India, Philippines, Ukraine, Serbia...
In 2011 was created a Russian version, and in 2015 Serbian.

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Math Problem of the Week: When is n^2 + 12n a perfect square




