What 2 square numbers subtract to make 9097?

What two square numbers subtract to make 9097? In other words, when you subtract one square number from another square number, the answer is 9097. 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 = 9097

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

419² - 408² = 9097

419² is 175561 and 408² is 166464, therefore the answer to the question "What 2 square numbers subtract to make 9097?" is 175561 and 166464 as illustrated below:

175561 - 166464 = 9097

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 9097. Below we list alternate solutions if available.

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