What 2 square numbers subtract to make 173?

What two square numbers subtract to make 173? In other words, when you subtract one square number from another square number, the answer is 173. 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 = 173

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

87² - 86² = 173

87² is 7569 and 86² is 7396, therefore the answer to the question "What 2 square numbers subtract to make 173?" is 7569 and 7396 as illustrated below:

7569 - 7396 = 173

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 173. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 174?
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