What 2 square numbers subtract to make 491?

What two square numbers subtract to make 491? In other words, when you subtract one square number from another square number, the answer is 491. 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 = 491

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

246² - 245² = 491

246² is 60516 and 245² is 60025, therefore the answer to the question "What 2 square numbers subtract to make 491?" is 60516 and 60025 as illustrated below:

60516 - 60025 = 491

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 491. Below we list alternate solutions if available.

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