What 2 square numbers subtract to make 8096?

What two square numbers subtract to make 8096? In other words, when you subtract one square number from another square number, the answer is 8096. 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 = 8096

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

90² - 2² = 8096

90² is 8100 and 2² is 4, therefore the answer to the question "What 2 square numbers subtract to make 8096?" is 8100 and 4 as illustrated below:

8100 - 4 = 8096

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 8096. Below we list alternate solutions if available.

12321 - 4225 = 8096
12996 - 4900 = 8096
38025 - 29929 = 8096

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What 2 square numbers subtract to make 8097?
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