What 2 square numbers subtract to make 5317?

What two square numbers subtract to make 5317? In other words, when you subtract one square number from another square number, the answer is 5317. 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 = 5317

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

211² - 198² = 5317

211² is 44521 and 198² is 39204, therefore the answer to the question "What 2 square numbers subtract to make 5317?" is 44521 and 39204 as illustrated below:

44521 - 39204 = 5317

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 5317. Below we list alternate solutions if available.

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