What 2 square numbers subtract to make 4317?

What two square numbers subtract to make 4317? In other words, when you subtract one square number from another square number, the answer is 4317. 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 = 4317

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

721² - 718² = 4317

721² is 519841 and 718² is 515524, therefore the answer to the question "What 2 square numbers subtract to make 4317?" is 519841 and 515524 as illustrated below:

519841 - 515524 = 4317

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 4317. Below we list alternate solutions if available.

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