What 2 square numbers subtract to make 4917?

What two square numbers subtract to make 4917? In other words, when you subtract one square number from another square number, the answer is 4917. 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 = 4917

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

91² - 58² = 4917

91² is 8281 and 58² is 3364, therefore the answer to the question "What 2 square numbers subtract to make 4917?" is 8281 and 3364 as illustrated below:

8281 - 3364 = 4917

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 4917. Below we list alternate solutions if available.

52441 - 47524 = 4917
674041 - 669124 = 4917

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