What 2 square numbers subtract to make 7975?

What two square numbers subtract to make 7975? In other words, when you subtract one square number from another square number, the answer is 7975. 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 = 7975

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

100² - 45² = 7975

100² is 10000 and 45² is 2025, therefore the answer to the question "What 2 square numbers subtract to make 7975?" is 10000 and 2025 as illustrated below:

10000 - 2025 = 7975

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 7975. Below we list alternate solutions if available.

23104 - 15129 = 7975
29584 - 21609 = 7975
135424 - 127449 = 7975

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