What 2 square numbers subtract to make 515?

What two square numbers subtract to make 515? In other words, when you subtract one square number from another square number, the answer is 515. 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 = 515

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

54² - 49² = 515

54² is 2916 and 49² is 2401, therefore the answer to the question "What 2 square numbers subtract to make 515?" is 2916 and 2401 as illustrated below:

2916 - 2401 = 515

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 515. Below we list alternate solutions if available.

66564 - 66049 = 515

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