What 2 square numbers subtract to make 2912?

What two square numbers subtract to make 2912? In other words, when you subtract one square number from another square number, the answer is 2912. 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 = 2912

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

54² - 2² = 2912

54² is 2916 and 2² is 4, therefore the answer to the question "What 2 square numbers subtract to make 2912?" is 2916 and 4 as illustrated below:

2916 - 4 = 2912

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 2912. Below we list alternate solutions if available.

4356 - 1444 = 2912
4761 - 1849 = 2912
9801 - 6889 = 2912

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