What 2 square numbers subtract to make 4499?

What two square numbers subtract to make 4499? In other words, when you subtract one square number from another square number, the answer is 4499. 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 = 4499

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

210² - 199² = 4499

210² is 44100 and 199² is 39601, therefore the answer to the question "What 2 square numbers subtract to make 4499?" is 44100 and 39601 as illustrated below:

44100 - 39601 = 4499

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 4499. Below we list alternate solutions if available.

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