What 2 square numbers subtract to make 8671?

What two square numbers subtract to make 8671? In other words, when you subtract one square number from another square number, the answer is 8671. 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 = 8671

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

164² - 135² = 8671

164² is 26896 and 135² is 18225, therefore the answer to the question "What 2 square numbers subtract to make 8671?" is 26896 and 18225 as illustrated below:

26896 - 18225 = 8671

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 8671. Below we list alternate solutions if available.

40000 - 31329 = 8671
115600 - 106929 = 8671

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