What 2 square numbers subtract to make 9345?

What two square numbers subtract to make 9345? In other words, when you subtract one square number from another square number, the answer is 9345. 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 = 9345

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

97² - 8² = 9345

97² is 9409 and 8² is 64, therefore the answer to the question "What 2 square numbers subtract to make 9345?" is 9409 and 64 as illustrated below:

9409 - 64 = 9345

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 9345. Below we list alternate solutions if available.

22801 - 13456 = 9345
54289 - 44944 = 9345
101761 - 92416 = 9345

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What 2 square numbers subtract to make 9346?
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