What 2 square numbers subtract to make 7080?

What two square numbers subtract to make 7080? In other words, when you subtract one square number from another square number, the answer is 7080. 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 = 7080

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

89² - 29² = 7080

89² is 7921 and 29² is 841, therefore the answer to the question "What 2 square numbers subtract to make 7080?" is 7921 and 841 as illustrated below:

7921 - 841 = 7080

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 7080. Below we list alternate solutions if available.

17689 - 10609 = 7080
34969 - 27889 = 7080
90601 - 83521 = 7080

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