What 2 square numbers subtract to make 6431?

What two square numbers subtract to make 6431? In other words, when you subtract one square number from another square number, the answer is 6431. 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 = 6431

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

84² - 25² = 6431

84² is 7056 and 25² is 625, therefore the answer to the question "What 2 square numbers subtract to make 6431?" is 7056 and 625 as illustrated below:

7056 - 625 = 6431

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 6431. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 6432?
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