What 2 square numbers subtract to make 9855?

What two square numbers subtract to make 9855? In other words, when you subtract one square number from another square number, the answer is 9855. 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 = 9855

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

104² - 31² = 9855

104² is 10816 and 31² is 961, therefore the answer to the question "What 2 square numbers subtract to make 9855?" is 10816 and 961 as illustrated below:

10816 - 961 = 9855

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 9855. Below we list alternate solutions if available.

17424 - 7569 = 9855
38416 - 28561 = 9855
112896 - 103041 = 9855

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