What 2 square numbers subtract to make 9321?

What two square numbers subtract to make 9321? In other words, when you subtract one square number from another square number, the answer is 9321. 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 = 9321

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

139² - 100² = 9321

139² is 19321 and 100² is 10000, therefore the answer to the question "What 2 square numbers subtract to make 9321?" is 19321 and 10000 as illustrated below:

19321 - 10000 = 9321

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 9321. Below we list alternate solutions if available.

133225 - 123904 = 9321

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