What 2 square numbers subtract to make 281?

What two square numbers subtract to make 281? In other words, when you subtract one square number from another square number, the answer is 281. 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 = 281

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

141² - 140² = 281

141² is 19881 and 140² is 19600, therefore the answer to the question "What 2 square numbers subtract to make 281?" is 19881 and 19600 as illustrated below:

19881 - 19600 = 281

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 281. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 282?
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