What 2 square numbers subtract to make 7905?

What two square numbers subtract to make 7905? In other words, when you subtract one square number from another square number, the answer is 7905. 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 = 7905

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

89² - 4² = 7905

89² is 7921 and 4² is 16, therefore the answer to the question "What 2 square numbers subtract to make 7905?" is 7921 and 16 as illustrated below:

7921 - 16 = 7905

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 7905. Below we list alternate solutions if available.

10609 - 2704 = 7905
20449 - 12544 = 7905
58081 - 50176 = 7905

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