What 2 square numbers subtract to make 5091?

What two square numbers subtract to make 5091? In other words, when you subtract one square number from another square number, the answer is 5091. 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 = 5091

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

850² - 847² = 5091

850² is 722500 and 847² is 717409, therefore the answer to the question "What 2 square numbers subtract to make 5091?" is 722500 and 717409 as illustrated below:

722500 - 717409 = 5091

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 5091. Below we list alternate solutions if available.

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