What 2 square numbers subtract to make 909?

What two square numbers subtract to make 909? In other words, when you subtract one square number from another square number, the answer is 909. 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 = 909

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

55² - 46² = 909

55² is 3025 and 46² is 2116, therefore the answer to the question "What 2 square numbers subtract to make 909?" is 3025 and 2116 as illustrated below:

3025 - 2116 = 909

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 909. Below we list alternate solutions if available.

23409 - 22500 = 909
207025 - 206116 = 909

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