What 2 square numbers subtract to make 4487?

What two square numbers subtract to make 4487? In other words, when you subtract one square number from another square number, the answer is 4487. 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 = 4487

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

324² - 317² = 4487

324² is 104976 and 317² is 100489, therefore the answer to the question "What 2 square numbers subtract to make 4487?" is 104976 and 100489 as illustrated below:

104976 - 100489 = 4487

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 4487. Below we list alternate solutions if available.

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