What 2 square numbers subtract to make 1293?

What two square numbers subtract to make 1293? In other words, when you subtract one square number from another square number, the answer is 1293. 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 = 1293

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

217² - 214² = 1293

217² is 47089 and 214² is 45796, therefore the answer to the question "What 2 square numbers subtract to make 1293?" is 47089 and 45796 as illustrated below:

47089 - 45796 = 1293

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 1293. Below we list alternate solutions if available.

418609 - 417316 = 1293

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