What 2 square numbers subtract to make 5509?

What two square numbers subtract to make 5509? In other words, when you subtract one square number from another square number, the answer is 5509. 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 = 5509

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

397² - 390² = 5509

397² is 157609 and 390² is 152100, therefore the answer to the question "What 2 square numbers subtract to make 5509?" is 157609 and 152100 as illustrated below:

157609 - 152100 = 5509

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 5509. Below we list alternate solutions if available.

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