What 2 square numbers subtract to make 9509?

What two square numbers subtract to make 9509? In other words, when you subtract one square number from another square number, the answer is 9509. 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 = 9509

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

147² - 110² = 9509

147² is 21609 and 110² is 12100, therefore the answer to the question "What 2 square numbers subtract to make 9509?" is 21609 and 12100 as illustrated below:

21609 - 12100 = 9509

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 9509. Below we list alternate solutions if available.

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