What 2 square numbers subtract to make 1279?

What two square numbers subtract to make 1279? In other words, when you subtract one square number from another square number, the answer is 1279. 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 = 1279

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

640² - 639² = 1279

640² is 409600 and 639² is 408321, therefore the answer to the question "What 2 square numbers subtract to make 1279?" is 409600 and 408321 as illustrated below:

409600 - 408321 = 1279

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 1279. Below we list alternate solutions if available.

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