What 2 square numbers subtract to make 1272?

What two square numbers subtract to make 1272? In other words, when you subtract one square number from another square number, the answer is 1272. 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 = 1272

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

59² - 47² = 1272

59² is 3481 and 47² is 2209, therefore the answer to the question "What 2 square numbers subtract to make 1272?" is 3481 and 2209 as illustrated below:

3481 - 2209 = 1272

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 1272. Below we list alternate solutions if available.

11881 - 10609 = 1272
25921 - 24649 = 1272
101761 - 100489 = 1272

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What 2 square numbers subtract to make 1273?
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