What 2 square numbers subtract to make 4593?

What two square numbers subtract to make 4593? In other words, when you subtract one square number from another square number, the answer is 4593. 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 = 4593

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

767² - 764² = 4593

767² is 588289 and 764² is 583696, therefore the answer to the question "What 2 square numbers subtract to make 4593?" is 588289 and 583696 as illustrated below:

588289 - 583696 = 4593

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 4593. Below we list alternate solutions if available.

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