What 2 square numbers subtract to make 5080?

What two square numbers subtract to make 5080? In other words, when you subtract one square number from another square number, the answer is 5080. 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 = 5080

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

137² - 117² = 5080

137² is 18769 and 117² is 13689, therefore the answer to the question "What 2 square numbers subtract to make 5080?" is 18769 and 13689 as illustrated below:

18769 - 13689 = 5080

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 5080. Below we list alternate solutions if available.

67081 - 62001 = 5080
405769 - 400689 = 5080

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