What 2 square numbers subtract to make 9005?

What two square numbers subtract to make 9005? In other words, when you subtract one square number from another square number, the answer is 9005. 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 = 9005

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

903² - 898² = 9005

903² is 815409 and 898² is 806404, therefore the answer to the question "What 2 square numbers subtract to make 9005?" is 815409 and 806404 as illustrated below:

815409 - 806404 = 9005

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 9005. Below we list alternate solutions if available.

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