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anemone
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Determine all possible integers $n$ for which $\dfrac{n^2+1}{\lfloor{\sqrt{n}}\rfloor^2+2}$ is an integer.
Positive integers are whole numbers that are greater than zero. They can be represented on a number line as all the numbers to the right of zero.
The main difference between positive integers and negative integers is that positive integers are greater than zero while negative integers are less than zero. Positive integers represent quantities that are being added or counted, while negative integers represent quantities that are being subtracted or removed.
To determine if a number is a positive integer, you can simply check if it is greater than zero. If the number is greater than zero, it is a positive integer. If the number is less than zero or equal to zero, it is not a positive integer.
No, fractions and decimals cannot be considered positive integers. Positive integers are whole numbers, meaning they do not have any fractions or decimals. Fractions and decimals can be converted to positive integers by rounding up or down, but they are not considered positive integers on their own.
Positive integers can be used to represent quantities in real-life situations, such as the number of apples in a basket, the number of students in a classroom, or the temperature on a thermometer. They can also be used in mathematical equations and calculations.