What 2 square numbers subtract to make 6565?

What two square numbers subtract to make 6565? In other words, when you subtract one square number from another square number, the answer is 6565. 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 = 6565

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

83² - 18² = 6565

83² is 6889 and 18² is 324, therefore the answer to the question "What 2 square numbers subtract to make 6565?" is 6889 and 324 as illustrated below:

6889 - 324 = 6565

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 6565. Below we list alternate solutions if available.

67081 - 60516 = 6565
434281 - 427716 = 6565

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