What 2 square numbers subtract to make 8507?

What two square numbers subtract to make 8507? In other words, when you subtract one square number from another square number, the answer is 8507. 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 = 8507

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

114² - 67² = 8507

114² is 12996 and 67² is 4489, therefore the answer to the question "What 2 square numbers subtract to make 8507?" is 12996 and 4489 as illustrated below:

12996 - 4489 = 8507

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 8507. Below we list alternate solutions if available.

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