What 2 square numbers subtract to make 519?

What two square numbers subtract to make 519? In other words, when you subtract one square number from another square number, the answer is 519. 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 = 519

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

88² - 85² = 519

88² is 7744 and 85² is 7225, therefore the answer to the question "What 2 square numbers subtract to make 519?" is 7744 and 7225 as illustrated below:

7744 - 7225 = 519

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 519. Below we list alternate solutions if available.

67600 - 67081 = 519

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