What 2 square numbers subtract to make 5105?

What two square numbers subtract to make 5105? In other words, when you subtract one square number from another square number, the answer is 5105. 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 = 5105

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

513² - 508² = 5105

513² is 263169 and 508² is 258064, therefore the answer to the question "What 2 square numbers subtract to make 5105?" is 263169 and 258064 as illustrated below:

263169 - 258064 = 5105

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 5105. Below we list alternate solutions if available.

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