What 2 square numbers subtract to make 8500?

What two square numbers subtract to make 8500? In other words, when you subtract one square number from another square number, the answer is 8500. 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 = 8500

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

110² - 60² = 8500

110² is 12100 and 60² is 3600, therefore the answer to the question "What 2 square numbers subtract to make 8500?" is 12100 and 3600 as illustrated below:

12100 - 3600 = 8500

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 8500. Below we list alternate solutions if available.

20164 - 11664 = 8500
184900 - 176400 = 8500

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