What 2 square numbers subtract to make 915?

What two square numbers subtract to make 915? In other words, when you subtract one square number from another square number, the answer is 915. 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 = 915

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

38² - 23² = 915

38² is 1444 and 23² is 529, therefore the answer to the question "What 2 square numbers subtract to make 915?" is 1444 and 529 as illustrated below:

1444 - 529 = 915

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 915. Below we list alternate solutions if available.

8836 - 7921 = 915
23716 - 22801 = 915
209764 - 208849 = 915

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