What 2 square numbers subtract to make 9713?

What two square numbers subtract to make 9713? In other words, when you subtract one square number from another square number, the answer is 9713. 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 = 9713

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

447² - 436² = 9713

447² is 199809 and 436² is 190096, therefore the answer to the question "What 2 square numbers subtract to make 9713?" is 199809 and 190096 as illustrated below:

199809 - 190096 = 9713

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 9713. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 9714?
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