What 2 square numbers subtract to make 388?

What two square numbers subtract to make 388? In other words, when you subtract one square number from another square number, the answer is 388. 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 = 388

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

98² - 96² = 388

98² is 9604 and 96² is 9216, therefore the answer to the question "What 2 square numbers subtract to make 388?" is 9604 and 9216 as illustrated below:

9604 - 9216 = 388

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 388. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 389?
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