What 2 square numbers subtract to make 9215?

What two square numbers subtract to make 9215? In other words, when you subtract one square number from another square number, the answer is 9215. 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 = 9215

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

96² - 1² = 9215

96² is 9216 and 1² is 1, therefore the answer to the question "What 2 square numbers subtract to make 9215?" is 9216 and 1 as illustrated below:

9216 - 1 = 9215

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 9215. Below we list alternate solutions if available.

63504 - 54289 = 9215
853776 - 844561 = 9215

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What 2 square numbers subtract to make 9216?
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