What 2 square numbers subtract to make 9101?

What two square numbers subtract to make 9101? In other words, when you subtract one square number from another square number, the answer is 9101. 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 = 9101

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

249² - 230² = 9101

249² is 62001 and 230² is 52900, therefore the answer to the question "What 2 square numbers subtract to make 9101?" is 62001 and 52900 as illustrated below:

62001 - 52900 = 9101

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 9101. Below we list alternate solutions if available.

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