What 2 square numbers subtract to make 911?

What two square numbers subtract to make 911? In other words, when you subtract one square number from another square number, the answer is 911. 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 = 911

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

456² - 455² = 911

456² is 207936 and 455² is 207025, therefore the answer to the question "What 2 square numbers subtract to make 911?" is 207936 and 207025 as illustrated below:

207936 - 207025 = 911

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 911. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 912?
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