What 2 square numbers subtract to make 7893?

What two square numbers subtract to make 7893? In other words, when you subtract one square number from another square number, the answer is 7893. 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 = 7893

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

443² - 434² = 7893

443² is 196249 and 434² is 188356, therefore the answer to the question "What 2 square numbers subtract to make 7893?" is 196249 and 188356 as illustrated below:

196249 - 188356 = 7893

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 7893. Below we list alternate solutions if available.

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