What 2 square numbers subtract to make 1004?

What two square numbers subtract to make 1004? In other words, when you subtract one square number from another square number, the answer is 1004. 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 = 1004

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

252² - 250² = 1004

252² is 63504 and 250² is 62500, therefore the answer to the question "What 2 square numbers subtract to make 1004?" is 63504 and 62500 as illustrated below:

63504 - 62500 = 1004

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 1004. Below we list alternate solutions if available.

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