What 2 square numbers subtract to make 5500?

What two square numbers subtract to make 5500? In other words, when you subtract one square number from another square number, the answer is 5500. 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 = 5500

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

80² - 30² = 5500

80² is 6400 and 30² is 900, therefore the answer to the question "What 2 square numbers subtract to make 5500?" is 6400 and 900 as illustrated below:

6400 - 900 = 5500

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 5500. Below we list alternate solutions if available.

18496 - 12996 = 5500
78400 - 72900 = 5500

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