What 2 square numbers subtract to make 9317?

What two square numbers subtract to make 9317? In other words, when you subtract one square number from another square number, the answer is 9317. 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 = 9317

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

99² - 22² = 9317

99² is 9801 and 22² is 484, therefore the answer to the question "What 2 square numbers subtract to make 9317?" is 9801 and 484 as illustrated below:

9801 - 484 = 9317

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 9317. Below we list alternate solutions if available.

184041 - 174724 = 9317
447561 - 438244 = 9317

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