What 2 square numbers subtract to make 8955?

What two square numbers subtract to make 8955? In other words, when you subtract one square number from another square number, the answer is 8955. 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 = 8955

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

122² - 77² = 8955

122² is 14884 and 77² is 5929, therefore the answer to the question "What 2 square numbers subtract to make 8955?" is 14884 and 5929 as illustrated below:

14884 - 5929 = 8955

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 8955. Below we list alternate solutions if available.

93636 - 84681 = 8955
252004 - 243049 = 8955
806404 - 797449 = 8955

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What 2 square numbers subtract to make 8956?
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