What 2 square numbers subtract to make 8173?

What two square numbers subtract to make 8173? In other words, when you subtract one square number from another square number, the answer is 8173. 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 = 8173

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

377² - 366² = 8173

377² is 142129 and 366² is 133956, therefore the answer to the question "What 2 square numbers subtract to make 8173?" is 142129 and 133956 as illustrated below:

142129 - 133956 = 8173

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 8173. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 8174?
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