What 2 square numbers subtract to make 319?

What two square numbers subtract to make 319? In other words, when you subtract one square number from another square number, the answer is 319. 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 = 319

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

20² - 9² = 319

20² is 400 and 9² is 81, therefore the answer to the question "What 2 square numbers subtract to make 319?" is 400 and 81 as illustrated below:

400 - 81 = 319

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 319. Below we list alternate solutions if available.

25600 - 25281 = 319

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