What 2 square numbers subtract to make 6769?

What two square numbers subtract to make 6769? In other words, when you subtract one square number from another square number, the answer is 6769. 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 = 6769

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

487² - 480² = 6769

487² is 237169 and 480² is 230400, therefore the answer to the question "What 2 square numbers subtract to make 6769?" is 237169 and 230400 as illustrated below:

237169 - 230400 = 6769

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 6769. Below we list alternate solutions if available.

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