What 2 square numbers subtract to make 284?

What two square numbers subtract to make 284? In other words, when you subtract one square number from another square number, the answer is 284. 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 = 284

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

72² - 70² = 284

72² is 5184 and 70² is 4900, therefore the answer to the question "What 2 square numbers subtract to make 284?" is 5184 and 4900 as illustrated below:

5184 - 4900 = 284

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 284. Below we list alternate solutions if available.

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