What 2 square numbers subtract to make 449?

What two square numbers subtract to make 449? In other words, when you subtract one square number from another square number, the answer is 449. 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 = 449

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

225² - 224² = 449

225² is 50625 and 224² is 50176, therefore the answer to the question "What 2 square numbers subtract to make 449?" is 50625 and 50176 as illustrated below:

50625 - 50176 = 449

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 449. Below we list alternate solutions if available.

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