What 2 square numbers subtract to make 8505?

What two square numbers subtract to make 8505? In other words, when you subtract one square number from another square number, the answer is 8505. 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 = 8505

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

93² - 12² = 8505

93² is 8649 and 12² is 144, therefore the answer to the question "What 2 square numbers subtract to make 8505?" is 8649 and 144 as illustrated below:

8649 - 144 = 8505

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 8505. Below we list alternate solutions if available.

9801 - 1296 = 8505
13689 - 5184 = 8505
19321 - 10816 = 8505

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What 2 square numbers subtract to make 8506?
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