What 2 square numbers subtract to make 415?

What two square numbers subtract to make 415? In other words, when you subtract one square number from another square number, the answer is 415. 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 = 415

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

44² - 39² = 415

44² is 1936 and 39² is 1521, therefore the answer to the question "What 2 square numbers subtract to make 415?" is 1936 and 1521 as illustrated below:

1936 - 1521 = 415

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 415. Below we list alternate solutions if available.

43264 - 42849 = 415

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