What 2 square numbers subtract to make 4207?

What two square numbers subtract to make 4207? In other words, when you subtract one square number from another square number, the answer is 4207. 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 = 4207

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

304² - 297² = 4207

304² is 92416 and 297² is 88209, therefore the answer to the question "What 2 square numbers subtract to make 4207?" is 92416 and 88209 as illustrated below:

92416 - 88209 = 4207

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 4207. Below we list alternate solutions if available.

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