What 2 square numbers subtract to make 1291?

What two square numbers subtract to make 1291? In other words, when you subtract one square number from another square number, the answer is 1291. 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 = 1291

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

646² - 645² = 1291

646² is 417316 and 645² is 416025, therefore the answer to the question "What 2 square numbers subtract to make 1291?" is 417316 and 416025 as illustrated below:

417316 - 416025 = 1291

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 1291. Below we list alternate solutions if available.

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