What 2 square numbers subtract to make 4291?

What two square numbers subtract to make 4291? In other words, when you subtract one square number from another square number, the answer is 4291. 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 = 4291

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

310² - 303² = 4291

310² is 96100 and 303² is 91809, therefore the answer to the question "What 2 square numbers subtract to make 4291?" is 96100 and 91809 as illustrated below:

96100 - 91809 = 4291

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 4291. Below we list alternate solutions if available.

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