What 2 square numbers subtract to make 1319?

What two square numbers subtract to make 1319? In other words, when you subtract one square number from another square number, the answer is 1319. 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 = 1319

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

660² - 659² = 1319

660² is 435600 and 659² is 434281, therefore the answer to the question "What 2 square numbers subtract to make 1319?" is 435600 and 434281 as illustrated below:

435600 - 434281 = 1319

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 1319. Below we list alternate solutions if available.

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