What 2 square numbers subtract to make 8137?

What two square numbers subtract to make 8137? In other words, when you subtract one square number from another square number, the answer is 8137. 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 = 8137

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

91² - 12² = 8137

91² is 8281 and 12² is 144, therefore the answer to the question "What 2 square numbers subtract to make 8137?" is 8281 and 144 as illustrated below:

8281 - 144 = 8137

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 8137. Below we list alternate solutions if available.

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