What 2 square numbers subtract to make 6120?

What two square numbers subtract to make 6120? In other words, when you subtract one square number from another square number, the answer is 6120. 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 = 6120

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

79² - 11² = 6120

79² is 6241 and 11² is 121, therefore the answer to the question "What 2 square numbers subtract to make 6120?" is 6241 and 121 as illustrated below:

6241 - 121 = 6120

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 6120. Below we list alternate solutions if available.

6561 - 441 = 6120
10609 - 4489 = 6120
11449 - 5329 = 6120

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What 2 square numbers subtract to make 6121?
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