What 2 square numbers subtract to make 1301?

What two square numbers subtract to make 1301? In other words, when you subtract one square number from another square number, the answer is 1301. 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 = 1301

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

651² - 650² = 1301

651² is 423801 and 650² is 422500, therefore the answer to the question "What 2 square numbers subtract to make 1301?" is 423801 and 422500 as illustrated below:

423801 - 422500 = 1301

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 1301. Below we list alternate solutions if available.

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