What 2 square numbers subtract to make 7843?

What two square numbers subtract to make 7843? In other words, when you subtract one square number from another square number, the answer is 7843. 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 = 7843

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

142² - 111² = 7843

142² is 20164 and 111² is 12321, therefore the answer to the question "What 2 square numbers subtract to make 7843?" is 20164 and 12321 as illustrated below:

20164 - 12321 = 7843

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 7843. Below we list alternate solutions if available.

33124 - 25281 = 7843
131044 - 123201 = 7843

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What 2 square numbers subtract to make 7844?
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