What 2 square numbers subtract to make 4955?

What two square numbers subtract to make 4955? In other words, when you subtract one square number from another square number, the answer is 4955. 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 = 4955

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

498² - 493² = 4955

498² is 248004 and 493² is 243049, therefore the answer to the question "What 2 square numbers subtract to make 4955?" is 248004 and 243049 as illustrated below:

248004 - 243049 = 4955

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 4955. Below we list alternate solutions if available.

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