What 2 square numbers subtract to make 2517?

What two square numbers subtract to make 2517? In other words, when you subtract one square number from another square number, the answer is 2517. 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 = 2517

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

421² - 418² = 2517

421² is 177241 and 418² is 174724, therefore the answer to the question "What 2 square numbers subtract to make 2517?" is 177241 and 174724 as illustrated below:

177241 - 174724 = 2517

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 2517. Below we list alternate solutions if available.

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