What 2 square numbers subtract to make 9301?

What two square numbers subtract to make 9301? In other words, when you subtract one square number from another square number, the answer is 9301. 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 = 9301

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

101² - 30² = 9301

101² is 10201 and 30² is 900, therefore the answer to the question "What 2 square numbers subtract to make 9301?" is 10201 and 900 as illustrated below:

10201 - 900 = 9301

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 9301. Below we list alternate solutions if available.

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