What 2 square numbers subtract to make 9240?

What two square numbers subtract to make 9240? In other words, when you subtract one square number from another square number, the answer is 9240. 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 = 9240

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

97² - 13² = 9240

97² is 9409 and 13² is 169, therefore the answer to the question "What 2 square numbers subtract to make 9240?" is 9409 and 169 as illustrated below:

9409 - 169 = 9240

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 9240. Below we list alternate solutions if available.

10201 - 961 = 9240
10609 - 1369 = 9240
11449 - 2209 = 9240

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What 2 square numbers subtract to make 9241?
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