What 2 square numbers subtract to make 9917?

What two square numbers subtract to make 9917? In other words, when you subtract one square number from another square number, the answer is 9917. 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 = 9917

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

129² - 82² = 9917

129² is 16641 and 82² is 6724, therefore the answer to the question "What 2 square numbers subtract to make 9917?" is 16641 and 6724 as illustrated below:

16641 - 6724 = 9917

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 9917. Below we list alternate solutions if available.

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