What 2 square numbers subtract to make 8651?

What two square numbers subtract to make 8651? In other words, when you subtract one square number from another square number, the answer is 8651. 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 = 8651

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

126² - 85² = 8651

126² is 15876 and 85² is 7225, therefore the answer to the question "What 2 square numbers subtract to make 8651?" is 15876 and 7225 as illustrated below:

15876 - 7225 = 8651

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 8651. Below we list alternate solutions if available.

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