What 2 square numbers subtract to make 4429?

What two square numbers subtract to make 4429? In other words, when you subtract one square number from another square number, the answer is 4429. 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 = 4429

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

73² - 30² = 4429

73² is 5329 and 30² is 900, therefore the answer to the question "What 2 square numbers subtract to make 4429?" is 5329 and 900 as illustrated below:

5329 - 900 = 4429

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 4429. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 4430?
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