What 2 square numbers subtract to make 9977?

What two square numbers subtract to make 9977? In other words, when you subtract one square number from another square number, the answer is 9977. 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 = 9977

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

459² - 448² = 9977

459² is 210681 and 448² is 200704, therefore the answer to the question "What 2 square numbers subtract to make 9977?" is 210681 and 200704 as illustrated below:

210681 - 200704 = 9977

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 9977. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 9978?
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