What 2 square numbers subtract to make 9320?

What two square numbers subtract to make 9320? In other words, when you subtract one square number from another square number, the answer is 9320. 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 = 9320

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

243² - 223² = 9320

243² is 59049 and 223² is 49729, therefore the answer to the question "What 2 square numbers subtract to make 9320?" is 59049 and 49729 as illustrated below:

59049 - 49729 = 9320

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 9320. Below we list alternate solutions if available.

221841 - 212521 = 9320

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