What 2 square numbers subtract to make 9820?

What two square numbers subtract to make 9820? In other words, when you subtract one square number from another square number, the answer is 9820. 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 = 9820

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

496² - 486² = 9820

496² is 246016 and 486² is 236196, therefore the answer to the question "What 2 square numbers subtract to make 9820?" is 246016 and 236196 as illustrated below:

246016 - 236196 = 9820

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 9820. Below we list alternate solutions if available.

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