What 2 square numbers subtract to make 5123?

What two square numbers subtract to make 5123? In other words, when you subtract one square number from another square number, the answer is 5123. 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 = 5123

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

78² - 31² = 5123

78² is 6084 and 31² is 961, therefore the answer to the question "What 2 square numbers subtract to make 5123?" is 6084 and 961 as illustrated below:

6084 - 961 = 5123

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 5123. Below we list alternate solutions if available.

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