What 2 square numbers subtract to make 6669?

What two square numbers subtract to make 6669? In other words, when you subtract one square number from another square number, the answer is 6669. 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 = 6669

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

87² - 30² = 6669

87² is 7569 and 30² is 900, therefore the answer to the question "What 2 square numbers subtract to make 6669?" is 7569 and 900 as illustrated below:

7569 - 900 = 6669

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 6669. Below we list alternate solutions if available.

11025 - 4356 = 6669
18769 - 12100 = 6669
34225 - 27556 = 6669

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