What 2 square numbers subtract to make 4976?

What two square numbers subtract to make 4976? In other words, when you subtract one square number from another square number, the answer is 4976. 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 = 4976

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

315² - 307² = 4976

315² is 99225 and 307² is 94249, therefore the answer to the question "What 2 square numbers subtract to make 4976?" is 99225 and 94249 as illustrated below:

99225 - 94249 = 4976

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 4976. Below we list alternate solutions if available.

389376 - 384400 = 4976

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