What 2 square numbers subtract to make 7700?

What two square numbers subtract to make 7700? In other words, when you subtract one square number from another square number, the answer is 7700. 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 = 7700

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

90² - 20² = 7700

90² is 8100 and 20² is 400, therefore the answer to the question "What 2 square numbers subtract to make 7700?" is 8100 and 400 as illustrated below:

8100 - 400 = 7700

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 7700. Below we list alternate solutions if available.

10404 - 2704 = 7700
34596 - 26896 = 7700
79524 - 71824 = 7700

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