What 2 square numbers subtract to make 8120?

What two square numbers subtract to make 8120? In other words, when you subtract one square number from another square number, the answer is 8120. 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 = 8120

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

93² - 23² = 8120

93² is 8649 and 23² is 529, therefore the answer to the question "What 2 square numbers subtract to make 8120?" is 8649 and 529 as illustrated below:

8649 - 529 = 8120

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 8120. Below we list alternate solutions if available.

9801 - 1681 = 8120
25281 - 17161 = 8120
45369 - 37249 = 8120

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What 2 square numbers subtract to make 8121?
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