What 2 square numbers subtract to make 9768?

What two square numbers subtract to make 9768? In other words, when you subtract one square number from another square number, the answer is 9768. 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 = 9768

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

103² - 29² = 9768

103² is 10609 and 29² is 841, therefore the answer to the question "What 2 square numbers subtract to make 9768?" is 10609 and 841 as illustrated below:

10609 - 841 = 9768

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 9768. Below we list alternate solutions if available.

11449 - 1681 = 9768
17689 - 7921 = 9768
54289 - 44521 = 9768

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