What 2 square numbers subtract to make 8304?

What two square numbers subtract to make 8304? In other words, when you subtract one square number from another square number, the answer is 8304. 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 = 8304

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

185² - 161² = 8304

185² is 34225 and 161² is 25921, therefore the answer to the question "What 2 square numbers subtract to make 8304?" is 34225 and 25921 as illustrated below:

34225 - 25921 = 8304

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 8304. Below we list alternate solutions if available.

123904 - 115600 = 8304
273529 - 265225 = 8304
483025 - 474721 = 8304

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What 2 square numbers subtract to make 8305?
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