What 2 square numbers subtract to make 7920?

What two square numbers subtract to make 7920? In other words, when you subtract one square number from another square number, the answer is 7920. 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 = 7920

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

89² - 1² = 7920

89² is 7921 and 1² is 1, therefore the answer to the question "What 2 square numbers subtract to make 7920?" is 7921 and 1 as illustrated below:

7921 - 1 = 7920

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 7920. Below we list alternate solutions if available.

8281 - 361 = 7920
8649 - 729 = 7920
9216 - 1296 = 7920

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What 2 square numbers subtract to make 7921?
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