What 2 square numbers subtract to make 9891?

What two square numbers subtract to make 9891? In other words, when you subtract one square number from another square number, the answer is 9891. 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 = 9891

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

110² - 47² = 9891

110² is 12100 and 47² is 2209, therefore the answer to the question "What 2 square numbers subtract to make 9891?" is 12100 and 2209 as illustrated below:

12100 - 2209 = 9891

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 9891. Below we list alternate solutions if available.

60516 - 50625 = 9891
306916 - 297025 = 9891
504100 - 494209 = 9891

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