What 2 square numbers subtract to make 9120?

What two square numbers subtract to make 9120? In other words, when you subtract one square number from another square number, the answer is 9120. 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 = 9120

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

97² - 17² = 9120

97² is 9409 and 17² is 289, therefore the answer to the question "What 2 square numbers subtract to make 9120?" is 9409 and 289 as illustrated below:

9409 - 289 = 9120

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 9120. Below we list alternate solutions if available.

9604 - 484 = 9120
11236 - 2116 = 9120
14161 - 5041 = 9120

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What 2 square numbers subtract to make 9121?
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