What 2 square numbers subtract to make 109?

What two square numbers subtract to make 109? In other words, when you subtract one square number from another square number, the answer is 109. 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 = 109

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

55² - 54² = 109

55² is 3025 and 54² is 2916, therefore the answer to the question "What 2 square numbers subtract to make 109?" is 3025 and 2916 as illustrated below:

3025 - 2916 = 109

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 109. Below we list alternate solutions if available.

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