What 2 square numbers subtract to make 3912?

What two square numbers subtract to make 3912? In other words, when you subtract one square number from another square number, the answer is 3912. 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 = 3912

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

169² - 157² = 3912

169² is 28561 and 157² is 24649, therefore the answer to the question "What 2 square numbers subtract to make 3912?" is 28561 and 24649 as illustrated below:

28561 - 24649 = 3912

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 3912. Below we list alternate solutions if available.

108241 - 104329 = 3912
241081 - 237169 = 3912
958441 - 954529 = 3912

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