What 2 square numbers subtract to make 5493?

What two square numbers subtract to make 5493? In other words, when you subtract one square number from another square number, the answer is 5493. 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 = 5493

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

917² - 914² = 5493

917² is 840889 and 914² is 835396, therefore the answer to the question "What 2 square numbers subtract to make 5493?" is 840889 and 835396 as illustrated below:

840889 - 835396 = 5493

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 5493. Below we list alternate solutions if available.

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