What 2 square numbers subtract to make 1985?

What two square numbers subtract to make 1985? In other words, when you subtract one square number from another square number, the answer is 1985. 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 = 1985

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

201² - 196² = 1985

201² is 40401 and 196² is 38416, therefore the answer to the question "What 2 square numbers subtract to make 1985?" is 40401 and 38416 as illustrated below:

40401 - 38416 = 1985

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 1985. Below we list alternate solutions if available.

986049 - 984064 = 1985

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