What 2 square numbers subtract to make 2505?

What two square numbers subtract to make 2505? In other words, when you subtract one square number from another square number, the answer is 2505. 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 = 2505

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

91² - 76² = 2505

91² is 8281 and 76² is 5776, therefore the answer to the question "What 2 square numbers subtract to make 2505?" is 8281 and 5776 as illustrated below:

8281 - 5776 = 2505

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 2505. Below we list alternate solutions if available.

64009 - 61504 = 2505
175561 - 173056 = 2505

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