What 2 square numbers subtract to make 439?

What two square numbers subtract to make 439? In other words, when you subtract one square number from another square number, the answer is 439. 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 = 439

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

220² - 219² = 439

220² is 48400 and 219² is 47961, therefore the answer to the question "What 2 square numbers subtract to make 439?" is 48400 and 47961 as illustrated below:

48400 - 47961 = 439

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 439. Below we list alternate solutions if available.

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