What 2 square numbers subtract to make 9989?

What two square numbers subtract to make 9989? In other words, when you subtract one square number from another square number, the answer is 9989. 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 = 9989

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

717² - 710² = 9989

717² is 514089 and 710² is 504100, therefore the answer to the question "What 2 square numbers subtract to make 9989?" is 514089 and 504100 as illustrated below:

514089 - 504100 = 9989

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 9989. Below we list alternate solutions if available.

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