What 2 square numbers subtract to make 9760?

What two square numbers subtract to make 9760? In other words, when you subtract one square number from another square number, the answer is 9760. 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 = 9760

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

101² - 21² = 9760

101² is 10201 and 21² is 441, therefore the answer to the question "What 2 square numbers subtract to make 9760?" is 10201 and 441 as illustrated below:

10201 - 441 = 9760

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 9760. Below we list alternate solutions if available.

20164 - 10404 = 9760
64516 - 54756 = 9760
97969 - 88209 = 9760

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