What 2 square numbers subtract to make 7091?

What two square numbers subtract to make 7091? In other words, when you subtract one square number from another square number, the answer is 7091. 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 = 7091

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

510² - 503² = 7091

510² is 260100 and 503² is 253009, therefore the answer to the question "What 2 square numbers subtract to make 7091?" is 260100 and 253009 as illustrated below:

260100 - 253009 = 7091

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 7091. Below we list alternate solutions if available.

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