What 2 square numbers subtract to make 6504?

What two square numbers subtract to make 6504? In other words, when you subtract one square number from another square number, the answer is 6504. 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 = 6504

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

277² - 265² = 6504

277² is 76729 and 265² is 70225, therefore the answer to the question "What 2 square numbers subtract to make 6504?" is 76729 and 70225 as illustrated below:

76729 - 70225 = 6504

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 6504. Below we list alternate solutions if available.

297025 - 290521 = 6504
664225 - 657721 = 6504

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