What 2 square numbers subtract to make 9701?

What two square numbers subtract to make 9701? In other words, when you subtract one square number from another square number, the answer is 9701. 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 = 9701

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

99² - 10² = 9701

99² is 9801 and 10² is 100, therefore the answer to the question "What 2 square numbers subtract to make 9701?" is 9801 and 100 as illustrated below:

9801 - 100 = 9701

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 9701. Below we list alternate solutions if available.

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