What 2 square numbers subtract to make 8765?

What two square numbers subtract to make 8765? In other words, when you subtract one square number from another square number, the answer is 8765. 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 = 8765

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

879² - 874² = 8765

879² is 772641 and 874² is 763876, therefore the answer to the question "What 2 square numbers subtract to make 8765?" is 772641 and 763876 as illustrated below:

772641 - 763876 = 8765

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 8765. Below we list alternate solutions if available.

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