What 2 square numbers subtract to make 3171?

What two square numbers subtract to make 3171? In other words, when you subtract one square number from another square number, the answer is 3171. 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 = 3171

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

86² - 65² = 3171

86² is 7396 and 65² is 4225, therefore the answer to the question "What 2 square numbers subtract to make 3171?" is 7396 and 4225 as illustrated below:

7396 - 4225 = 3171

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 3171. Below we list alternate solutions if available.

52900 - 49729 = 3171
280900 - 277729 = 3171

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What 2 square numbers subtract to make 3172?
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