What 2 square numbers subtract to make 2103?

What two square numbers subtract to make 2103? In other words, when you subtract one square number from another square number, the answer is 2103. 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 = 2103

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

352² - 349² = 2103

352² is 123904 and 349² is 121801, therefore the answer to the question "What 2 square numbers subtract to make 2103?" is 123904 and 121801 as illustrated below:

123904 - 121801 = 2103

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 2103. Below we list alternate solutions if available.

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