What 2 square numbers subtract to make 6509?

What two square numbers subtract to make 6509? In other words, when you subtract one square number from another square number, the answer is 6509. 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 = 6509

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

153² - 130² = 6509

153² is 23409 and 130² is 16900, therefore the answer to the question "What 2 square numbers subtract to make 6509?" is 23409 and 16900 as illustrated below:

23409 - 16900 = 6509

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 6509. Below we list alternate solutions if available.

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