What 2 square numbers subtract to make 5291?

What two square numbers subtract to make 5291? In other words, when you subtract one square number from another square number, the answer is 5291. 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 = 5291

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

90² - 53² = 5291

90² is 8100 and 53² is 2809, therefore the answer to the question "What 2 square numbers subtract to make 5291?" is 8100 and 2809 as illustrated below:

8100 - 2809 = 5291

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 5291. Below we list alternate solutions if available.

44100 - 38809 = 5291
60516 - 55225 = 5291

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