What 2 square numbers subtract to make 8687?

What two square numbers subtract to make 8687? In other words, when you subtract one square number from another square number, the answer is 8687. 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 = 8687

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

96² - 23² = 8687

96² is 9216 and 23² is 529, therefore the answer to the question "What 2 square numbers subtract to make 8687?" is 9216 and 529 as illustrated below:

9216 - 529 = 8687

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 8687. Below we list alternate solutions if available.

69696 - 61009 = 8687
389376 - 380689 = 8687

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What 2 square numbers subtract to make 8688?
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