What 2 square numbers subtract to make 9117?

What two square numbers subtract to make 9117? In other words, when you subtract one square number from another square number, the answer is 9117. 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 = 9117

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

511² - 502² = 9117

511² is 261121 and 502² is 252004, therefore the answer to the question "What 2 square numbers subtract to make 9117?" is 261121 and 252004 as illustrated below:

261121 - 252004 = 9117

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 9117. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 9118?
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