What 2 square numbers subtract to make 5083?

What two square numbers subtract to make 5083? In other words, when you subtract one square number from another square number, the answer is 5083. 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 = 5083

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

122² - 99² = 5083

122² is 14884 and 99² is 9801, therefore the answer to the question "What 2 square numbers subtract to make 5083?" is 14884 and 9801 as illustrated below:

14884 - 9801 = 5083

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 5083. Below we list alternate solutions if available.

24964 - 19881 = 5083
40804 - 35721 = 5083

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