What 2 square numbers subtract to make 1297?

What two square numbers subtract to make 1297? In other words, when you subtract one square number from another square number, the answer is 1297. 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 = 1297

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

649² - 648² = 1297

649² is 421201 and 648² is 419904, therefore the answer to the question "What 2 square numbers subtract to make 1297?" is 421201 and 419904 as illustrated below:

421201 - 419904 = 1297

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 1297. Below we list alternate solutions if available.

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