What 2 square numbers subtract to make 6920?

What two square numbers subtract to make 6920? In other words, when you subtract one square number from another square number, the answer is 6920. 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 = 6920

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

183² - 163² = 6920

183² is 33489 and 163² is 26569, therefore the answer to the question "What 2 square numbers subtract to make 6920?" is 33489 and 26569 as illustrated below:

33489 - 26569 = 6920

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 6920. Below we list alternate solutions if available.

123201 - 116281 = 6920
751689 - 744769 = 6920

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