What 2 square numbers subtract to make 8720?

What two square numbers subtract to make 8720? In other words, when you subtract one square number from another square number, the answer is 8720. 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 = 8720

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

129² - 89² = 8720

129² is 16641 and 89² is 7921, therefore the answer to the question "What 2 square numbers subtract to make 8720?" is 16641 and 7921 as illustrated below:

16641 - 7921 = 8720

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 8720. Below we list alternate solutions if available.

51984 - 43264 = 8720
194481 - 185761 = 8720
301401 - 292681 = 8720

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What 2 square numbers subtract to make 8721?
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