What 2 square numbers subtract to make 919?

What two square numbers subtract to make 919? In other words, when you subtract one square number from another square number, the answer is 919. 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 = 919

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

460² - 459² = 919

460² is 211600 and 459² is 210681, therefore the answer to the question "What 2 square numbers subtract to make 919?" is 211600 and 210681 as illustrated below:

211600 - 210681 = 919

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 919. Below we list alternate solutions if available.

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