What 2 square numbers subtract to make 1277?

What two square numbers subtract to make 1277? In other words, when you subtract one square number from another square number, the answer is 1277. 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 = 1277

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

639² - 638² = 1277

639² is 408321 and 638² is 407044, therefore the answer to the question "What 2 square numbers subtract to make 1277?" is 408321 and 407044 as illustrated below:

408321 - 407044 = 1277

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 1277. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 1278?
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