What 2 square numbers subtract to make 2067?

What two square numbers subtract to make 2067? In other words, when you subtract one square number from another square number, the answer is 2067. 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 = 2067

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

46² - 7² = 2067

46² is 2116 and 7² is 49, therefore the answer to the question "What 2 square numbers subtract to make 2067?" is 2116 and 49 as illustrated below:

2116 - 49 = 2067

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 2067. Below we list alternate solutions if available.

7396 - 5329 = 2067
119716 - 117649 = 2067

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