What 2 square numbers subtract to make 1039?

What two square numbers subtract to make 1039? In other words, when you subtract one square number from another square number, the answer is 1039. 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 = 1039

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

520² - 519² = 1039

520² is 270400 and 519² is 269361, therefore the answer to the question "What 2 square numbers subtract to make 1039?" is 270400 and 269361 as illustrated below:

270400 - 269361 = 1039

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 1039. Below we list alternate solutions if available.

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