What 2 square numbers subtract to make 8393?

What two square numbers subtract to make 8393? In other words, when you subtract one square number from another square number, the answer is 8393. 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 = 8393

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

93² - 16² = 8393

93² is 8649 and 16² is 256, therefore the answer to the question "What 2 square numbers subtract to make 8393?" is 8649 and 256 as illustrated below:

8649 - 256 = 8393

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 8393. Below we list alternate solutions if available.

149769 - 141376 = 8393
363609 - 355216 = 8393

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