What 2 square numbers subtract to make 8560?

What two square numbers subtract to make 8560? In other words, when you subtract one square number from another square number, the answer is 8560. 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 = 8560

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

127² - 87² = 8560

127² is 16129 and 87² is 7569, therefore the answer to the question "What 2 square numbers subtract to make 8560?" is 16129 and 7569 as illustrated below:

16129 - 7569 = 8560

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 8560. Below we list alternate solutions if available.

50176 - 41616 = 8560
187489 - 178929 = 8560
290521 - 281961 = 8560

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