What 2 square numbers subtract to make 683?

What two square numbers subtract to make 683? In other words, when you subtract one square number from another square number, the answer is 683. 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 = 683

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

342² - 341² = 683

342² is 116964 and 341² is 116281, therefore the answer to the question "What 2 square numbers subtract to make 683?" is 116964 and 116281 as illustrated below:

116964 - 116281 = 683

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 683. Below we list alternate solutions if available.

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