What 2 square numbers subtract to make 5019?

What two square numbers subtract to make 5019? In other words, when you subtract one square number from another square number, the answer is 5019. 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 = 5019

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

130² - 109² = 5019

130² is 16900 and 109² is 11881, therefore the answer to the question "What 2 square numbers subtract to make 5019?" is 16900 and 11881 as illustrated below:

16900 - 11881 = 5019

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 5019. Below we list alternate solutions if available.

131044 - 126025 = 5019
702244 - 697225 = 5019

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