What 2 square numbers subtract to make 2045?

What two square numbers subtract to make 2045? In other words, when you subtract one square number from another square number, the answer is 2045. 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 = 2045

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

207² - 202² = 2045

207² is 42849 and 202² is 40804, therefore the answer to the question "What 2 square numbers subtract to make 2045?" is 42849 and 40804 as illustrated below:

42849 - 40804 = 2045

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 2045. Below we list alternate solutions if available.

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