What 2 square numbers subtract to make 404?

What two square numbers subtract to make 404? In other words, when you subtract one square number from another square number, the answer is 404. 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 = 404

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

102² - 100² = 404

102² is 10404 and 100² is 10000, therefore the answer to the question "What 2 square numbers subtract to make 404?" is 10404 and 10000 as illustrated below:

10404 - 10000 = 404

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 404. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 405?
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