What 2 square numbers subtract to make 3939?

What two square numbers subtract to make 3939? In other words, when you subtract one square number from another square number, the answer is 3939. 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 = 3939

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

70² - 31² = 3939

70² is 4900 and 31² is 961, therefore the answer to the question "What 2 square numbers subtract to make 3939?" is 4900 and 961 as illustrated below:

4900 - 961 = 3939

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 3939. Below we list alternate solutions if available.

24964 - 21025 = 3939
432964 - 429025 = 3939

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