What 2 square numbers subtract to make 9997?

What two square numbers subtract to make 9997? In other words, when you subtract one square number from another square number, the answer is 9997. 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 = 9997

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

391² - 378² = 9997

391² is 152881 and 378² is 142884, therefore the answer to the question "What 2 square numbers subtract to make 9997?" is 152881 and 142884 as illustrated below:

152881 - 142884 = 9997

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 9997. Below we list alternate solutions if available.

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