What 2 square numbers subtract to make 9184?

What two square numbers subtract to make 9184? In other words, when you subtract one square number from another square number, the answer is 9184. 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 = 9184

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

97² - 15² = 9184

97² is 9409 and 15² is 225, therefore the answer to the question "What 2 square numbers subtract to make 9184?" is 9409 and 225 as illustrated below:

9409 - 225 = 9184

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 9184. Below we list alternate solutions if available.

12100 - 2916 = 9184
31684 - 22500 = 9184
87025 - 77841 = 9184

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