What 2 square numbers subtract to make 7880?

What two square numbers subtract to make 7880? In other words, when you subtract one square number from another square number, the answer is 7880. 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 = 7880

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

207² - 187² = 7880

207² is 42849 and 187² is 34969, therefore the answer to the question "What 2 square numbers subtract to make 7880?" is 42849 and 34969 as illustrated below:

42849 - 34969 = 7880

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 7880. Below we list alternate solutions if available.

159201 - 151321 = 7880
974169 - 966289 = 7880

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