What 2 square numbers subtract to make 6520?

What two square numbers subtract to make 6520? In other words, when you subtract one square number from another square number, the answer is 6520. 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 = 6520

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

173² - 153² = 6520

173² is 29929 and 153² is 23409, therefore the answer to the question "What 2 square numbers subtract to make 6520?" is 29929 and 23409 as illustrated below:

29929 - 23409 = 6520

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 6520. Below we list alternate solutions if available.

109561 - 103041 = 6520
667489 - 660969 = 6520

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