What 2 square numbers subtract to make 9765?

What two square numbers subtract to make 9765? In other words, when you subtract one square number from another square number, the answer is 9765. 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 = 9765

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

99² - 6² = 9765

99² is 9801 and 6² is 36, therefore the answer to the question "What 2 square numbers subtract to make 9765?" is 9801 and 36 as illustrated below:

9801 - 36 = 9765

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 9765. Below we list alternate solutions if available.

11881 - 2116 = 9765
17161 - 7396 = 9765
24649 - 14884 = 9765

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What 2 square numbers subtract to make 9766?
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