What 2 square numbers subtract to make 7931?

What two square numbers subtract to make 7931? In other words, when you subtract one square number from another square number, the answer is 7931. 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 = 7931

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

90² - 13² = 7931

90² is 8100 and 13² is 169, therefore the answer to the question "What 2 square numbers subtract to make 7931?" is 8100 and 169 as illustrated below:

8100 - 169 = 7931

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 7931. Below we list alternate solutions if available.

133956 - 126025 = 7931
324900 - 316969 = 7931

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