What 2 square numbers subtract to make 9867?

What two square numbers subtract to make 9867? In other words, when you subtract one square number from another square number, the answer is 9867. 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 = 9867

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

106² - 37² = 9867

106² is 11236 and 37² is 1369, therefore the answer to the question "What 2 square numbers subtract to make 9867?" is 11236 and 1369 as illustrated below:

11236 - 1369 = 9867

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 9867. Below we list alternate solutions if available.

21316 - 11449 = 9867
27556 - 17689 = 9867
51076 - 41209 = 9867

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