What 2 square numbers subtract to make 9611?

What two square numbers subtract to make 9611? In other words, when you subtract one square number from another square number, the answer is 9611. 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 = 9611

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

690² - 683² = 9611

690² is 476100 and 683² is 466489, therefore the answer to the question "What 2 square numbers subtract to make 9611?" is 476100 and 466489 as illustrated below:

476100 - 466489 = 9611

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 9611. Below we list alternate solutions if available.

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