What 2 square numbers subtract to make 4004?

What two square numbers subtract to make 4004? In other words, when you subtract one square number from another square number, the answer is 4004. 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 = 4004

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

90² - 64² = 4004

90² is 8100 and 64² is 4096, therefore the answer to the question "What 2 square numbers subtract to make 4004?" is 8100 and 4096 as illustrated below:

8100 - 4096 = 4004

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 4004. Below we list alternate solutions if available.

10404 - 6400 = 4004
22500 - 18496 = 4004

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