What 2 square numbers subtract to make 4143?

What two square numbers subtract to make 4143? In other words, when you subtract one square number from another square number, the answer is 4143. 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 = 4143

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

692² - 689² = 4143

692² is 478864 and 689² is 474721, therefore the answer to the question "What 2 square numbers subtract to make 4143?" is 478864 and 474721 as illustrated below:

478864 - 474721 = 4143

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 4143. Below we list alternate solutions if available.

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