What 2 square numbers subtract to make 1049?

What two square numbers subtract to make 1049? In other words, when you subtract one square number from another square number, the answer is 1049. 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 = 1049

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

525² - 524² = 1049

525² is 275625 and 524² is 274576, therefore the answer to the question "What 2 square numbers subtract to make 1049?" is 275625 and 274576 as illustrated below:

275625 - 274576 = 1049

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 1049. Below we list alternate solutions if available.

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