What 2 square numbers subtract to make 9931?

What two square numbers subtract to make 9931? In other words, when you subtract one square number from another square number, the answer is 9931. 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 = 9931

We listed all square numbers up to one million. Then we tried all different combinations of subtracting one square number from another to see if we could get 9931. We could not find two square numbers that subtract to make 9931.

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What 2 square numbers subtract to make 9932?
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