What 2 square numbers subtract to make 7031?

What two square numbers subtract to make 7031? In other words, when you subtract one square number from another square number, the answer is 7031. 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 = 7031

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

84² - 5² = 7031

84² is 7056 and 5² is 25, therefore the answer to the question "What 2 square numbers subtract to make 7031?" is 7056 and 25 as illustrated below:

7056 - 25 = 7031

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 7031. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 7032?
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