What 2 square numbers subtract to make 8251?

What two square numbers subtract to make 8251? In other words, when you subtract one square number from another square number, the answer is 8251. 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 = 8251

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

130² - 93² = 8251

130² is 16900 and 93² is 8649, therefore the answer to the question "What 2 square numbers subtract to make 8251?" is 16900 and 8649 as illustrated below:

16900 - 8649 = 8251

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 8251. Below we list alternate solutions if available.

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