What 2 square numbers subtract to make 9685?

What two square numbers subtract to make 9685? In other words, when you subtract one square number from another square number, the answer is 9685. 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 = 9685

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

107² - 42² = 9685

107² is 11449 and 42² is 1764, therefore the answer to the question "What 2 square numbers subtract to make 9685?" is 11449 and 1764 as illustrated below:

11449 - 1764 = 9685

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 9685. Below we list alternate solutions if available.

143641 - 133956 = 9685
942841 - 933156 = 9685

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