What 2 square numbers subtract to make 9863?

What two square numbers subtract to make 9863? In other words, when you subtract one square number from another square number, the answer is 9863. 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 = 9863

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

708² - 701² = 9863

708² is 501264 and 701² is 491401, therefore the answer to the question "What 2 square numbers subtract to make 9863?" is 501264 and 491401 as illustrated below:

501264 - 491401 = 9863

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 9863. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 9864?
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