What 2 square numbers subtract to make 4193?

What two square numbers subtract to make 4193? In other words, when you subtract one square number from another square number, the answer is 4193. 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 = 4193

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

303² - 296² = 4193

303² is 91809 and 296² is 87616, therefore the answer to the question "What 2 square numbers subtract to make 4193?" is 91809 and 87616 as illustrated below:

91809 - 87616 = 4193

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 4193. Below we list alternate solutions if available.

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