What 2 square numbers subtract to make 9517?

What two square numbers subtract to make 9517? In other words, when you subtract one square number from another square number, the answer is 9517. 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 = 9517

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

169² - 138² = 9517

169² is 28561 and 138² is 19044, therefore the answer to the question "What 2 square numbers subtract to make 9517?" is 28561 and 19044 as illustrated below:

28561 - 19044 = 9517

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 9517. Below we list alternate solutions if available.

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