What 2 square numbers subtract to make 843?

What two square numbers subtract to make 843? In other words, when you subtract one square number from another square number, the answer is 843. 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 = 843

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

142² - 139² = 843

142² is 20164 and 139² is 19321, therefore the answer to the question "What 2 square numbers subtract to make 843?" is 20164 and 19321 as illustrated below:

20164 - 19321 = 843

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 843. Below we list alternate solutions if available.

178084 - 177241 = 843

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