What 2 square numbers subtract to make 1317?

What two square numbers subtract to make 1317? In other words, when you subtract one square number from another square number, the answer is 1317. 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 = 1317

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

221² - 218² = 1317

221² is 48841 and 218² is 47524, therefore the answer to the question "What 2 square numbers subtract to make 1317?" is 48841 and 47524 as illustrated below:

48841 - 47524 = 1317

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 1317. Below we list alternate solutions if available.

434281 - 432964 = 1317

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