What 2 square numbers subtract to make 199?

What two square numbers subtract to make 199? In other words, when you subtract one square number from another square number, the answer is 199. 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 = 199

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

100² - 99² = 199

100² is 10000 and 99² is 9801, therefore the answer to the question "What 2 square numbers subtract to make 199?" is 10000 and 9801 as illustrated below:

10000 - 9801 = 199

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 199. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 200?
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