What 2 square numbers subtract to make 9955?

What two square numbers subtract to make 9955? In other words, when you subtract one square number from another square number, the answer is 9955. 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 = 9955

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

118² - 63² = 9955

118² is 13924 and 63² is 3969, therefore the answer to the question "What 2 square numbers subtract to make 9955?" is 13924 and 3969 as illustrated below:

13924 - 3969 = 9955

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 9955. Below we list alternate solutions if available.

209764 - 199809 = 9955
996004 - 986049 = 9955

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