What 2 square numbers subtract to make 2931?

What two square numbers subtract to make 2931? In other words, when you subtract one square number from another square number, the answer is 2931. 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 = 2931

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

490² - 487² = 2931

490² is 240100 and 487² is 237169, therefore the answer to the question "What 2 square numbers subtract to make 2931?" is 240100 and 237169 as illustrated below:

240100 - 237169 = 2931

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 2931. Below we list alternate solutions if available.

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