What 2 square numbers subtract to make 3901?

What two square numbers subtract to make 3901? In other words, when you subtract one square number from another square number, the answer is 3901. 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 = 3901

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

65² - 18² = 3901

65² is 4225 and 18² is 324, therefore the answer to the question "What 2 square numbers subtract to make 3901?" is 4225 and 324 as illustrated below:

4225 - 324 = 3901

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 3901. Below we list alternate solutions if available.

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