What 2 square numbers subtract to make 2501?

What two square numbers subtract to make 2501? In other words, when you subtract one square number from another square number, the answer is 2501. 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 = 2501

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

51² - 10² = 2501

51² is 2601 and 10² is 100, therefore the answer to the question "What 2 square numbers subtract to make 2501?" is 2601 and 100 as illustrated below:

2601 - 100 = 2501

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 2501. Below we list alternate solutions if available.

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