What 2 square numbers subtract to make 7007?

What two square numbers subtract to make 7007? In other words, when you subtract one square number from another square number, the answer is 7007. 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 = 7007

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

84² - 7² = 7007

84² is 7056 and 7² is 49, therefore the answer to the question "What 2 square numbers subtract to make 7007?" is 7056 and 49 as illustrated below:

7056 - 49 = 7007

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 7007. Below we list alternate solutions if available.

9216 - 2209 = 7007
76176 - 69169 = 7007
104976 - 97969 = 7007

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