What 2 square numbers subtract to make 2415?

What two square numbers subtract to make 2415? In other words, when you subtract one square number from another square number, the answer is 2415. 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 = 2415

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

52² - 17² = 2415

52² is 2704 and 17² is 289, therefore the answer to the question "What 2 square numbers subtract to make 2415?" is 2704 and 289 as illustrated below:

2704 - 289 = 2415

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 2415. Below we list alternate solutions if available.

4096 - 1681 = 2415
4624 - 2209 = 2415
7744 - 5329 = 2415

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