What 2 square numbers subtract to make 4384?

What two square numbers subtract to make 4384? In other words, when you subtract one square number from another square number, the answer is 4384. 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 = 4384

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

145² - 129² = 4384

145² is 21025 and 129² is 16641, therefore the answer to the question "What 2 square numbers subtract to make 4384?" is 21025 and 16641 as illustrated below:

21025 - 16641 = 4384

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 4384. Below we list alternate solutions if available.

77284 - 72900 = 4384
302500 - 298116 = 4384

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