What 2 square numbers subtract to make 4609?

What two square numbers subtract to make 4609? In other words, when you subtract one square number from another square number, the answer is 4609. 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 = 4609

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

215² - 204² = 4609

215² is 46225 and 204² is 41616, therefore the answer to the question "What 2 square numbers subtract to make 4609?" is 46225 and 41616 as illustrated below:

46225 - 41616 = 4609

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 4609. Below we list alternate solutions if available.

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