What 2 square numbers subtract to make 8040?

What two square numbers subtract to make 8040? In other words, when you subtract one square number from another square number, the answer is 8040. 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 = 8040

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

97² - 37² = 8040

97² is 9409 and 37² is 1369, therefore the answer to the question "What 2 square numbers subtract to make 8040?" is 9409 and 1369 as illustrated below:

9409 - 1369 = 8040

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 8040. Below we list alternate solutions if available.

22201 - 14161 = 8040
44521 - 36481 = 8040
116281 - 108241 = 8040

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What 2 square numbers subtract to make 8041?
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