What 2 square numbers subtract to make 3903?

What two square numbers subtract to make 3903? In other words, when you subtract one square number from another square number, the answer is 3903. 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 = 3903

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

652² - 649² = 3903

652² is 425104 and 649² is 421201, therefore the answer to the question "What 2 square numbers subtract to make 3903?" is 425104 and 421201 as illustrated below:

425104 - 421201 = 3903

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 3903. Below we list alternate solutions if available.

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