What 2 square numbers subtract to make 7965?

What two square numbers subtract to make 7965? In other words, when you subtract one square number from another square number, the answer is 7965. 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 = 7965

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

97² - 38² = 7965

97² is 9409 and 38² is 1444, therefore the answer to the question "What 2 square numbers subtract to make 7965?" is 9409 and 1444 as illustrated below:

9409 - 1444 = 7965

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 7965. Below we list alternate solutions if available.

12321 - 4356 = 7965
25921 - 17956 = 7965
74529 - 66564 = 7965

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