What 2 square numbers subtract to make 2139?

What two square numbers subtract to make 2139? In other words, when you subtract one square number from another square number, the answer is 2139. 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 = 2139

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

50² - 19² = 2139

50² is 2500 and 19² is 361, therefore the answer to the question "What 2 square numbers subtract to make 2139?" is 2500 and 361 as illustrated below:

2500 - 361 = 2139

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 2139. Below we list alternate solutions if available.

3364 - 1225 = 2139
128164 - 126025 = 2139

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