What 2 square numbers subtract to make 2504?

What two square numbers subtract to make 2504? In other words, when you subtract one square number from another square number, the answer is 2504. 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 = 2504

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

315² - 311² = 2504

315² is 99225 and 311² is 96721, therefore the answer to the question "What 2 square numbers subtract to make 2504?" is 99225 and 96721 as illustrated below:

99225 - 96721 = 2504

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 2504. Below we list alternate solutions if available.

393129 - 390625 = 2504

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