What 2 square numbers subtract to make 3291?

What two square numbers subtract to make 3291? In other words, when you subtract one square number from another square number, the answer is 3291. 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 = 3291

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

550² - 547² = 3291

550² is 302500 and 547² is 299209, therefore the answer to the question "What 2 square numbers subtract to make 3291?" is 302500 and 299209 as illustrated below:

302500 - 299209 = 3291

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 3291. Below we list alternate solutions if available.

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