What 2 square numbers subtract to make 8151?

What two square numbers subtract to make 8151? In other words, when you subtract one square number from another square number, the answer is 8151. 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 = 8151

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

100² - 43² = 8151

100² is 10000 and 43² is 1849, therefore the answer to the question "What 2 square numbers subtract to make 8151?" is 10000 and 1849 as illustrated below:

10000 - 1849 = 8151

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 8151. Below we list alternate solutions if available.

15376 - 7225 = 8151
19600 - 11449 = 8151
50176 - 42025 = 8151

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