What 2 square numbers subtract to make 8015?

What two square numbers subtract to make 8015? In other words, when you subtract one square number from another square number, the answer is 8015. 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 = 8015

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

132² - 97² = 8015

132² is 17424 and 97² is 9409, therefore the answer to the question "What 2 square numbers subtract to make 8015?" is 17424 and 9409 as illustrated below:

17424 - 9409 = 8015

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 8015. Below we list alternate solutions if available.

331776 - 323761 = 8015
646416 - 638401 = 8015

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