What 2 square numbers subtract to make 2967?

What two square numbers subtract to make 2967? In other words, when you subtract one square number from another square number, the answer is 2967. 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 = 2967

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

56² - 13² = 2967

56² is 3136 and 13² is 169, therefore the answer to the question "What 2 square numbers subtract to make 2967?" is 3136 and 169 as illustrated below:

3136 - 169 = 2967

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 2967. Below we list alternate solutions if available.

5776 - 2809 = 2967
246016 - 243049 = 2967

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