What 2 square numbers subtract to make 1309?

What two square numbers subtract to make 1309? In other words, when you subtract one square number from another square number, the answer is 1309. 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 = 1309

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

47² - 30² = 1309

47² is 2209 and 30² is 900, therefore the answer to the question "What 2 square numbers subtract to make 1309?" is 2209 and 900 as illustrated below:

2209 - 900 = 1309

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 1309. Below we list alternate solutions if available.

4225 - 2916 = 1309
9409 - 8100 = 1309
429025 - 427716 = 1309

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