What 2 square numbers subtract to make 107?

What two square numbers subtract to make 107? In other words, when you subtract one square number from another square number, the answer is 107. What are the two square numbers?

First, note that a square number is what you get when you multiply a number by itself, which means that the square root of a square number will equal a whole number. Thus, this is what we are solving:

A² - B² = 107

We solved the equation above and found this to be true:

54² - 53² = 107

54² is 2916 and 53² is 2809, therefore the answer to the question "What 2 square numbers subtract to make 107?" is 2916 and 2809 as illustrated below:

2916 - 2809 = 107

Note that there may be more than one solution to a problem like this. Above, we found the lowest combination of square numbers that subtract to 107. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 108?
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