What 2 square numbers subtract to make 5643?

What two square numbers subtract to make 5643? In other words, when you subtract one square number from another square number, the answer is 5643. 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 = 5643

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

78² - 21² = 5643

78² is 6084 and 21² is 441, therefore the answer to the question "What 2 square numbers subtract to make 5643?" is 6084 and 441 as illustrated below:

6084 - 441 = 5643

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 5643. Below we list alternate solutions if available.

10404 - 4761 = 5643
13924 - 8281 = 5643
24964 - 19321 = 5643

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