What 2 square numbers subtract to make 9672?

What two square numbers subtract to make 9672? In other words, when you subtract one square number from another square number, the answer is 9672. 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 = 9672

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

101² - 23² = 9672

101² is 10201 and 23² is 529, therefore the answer to the question "What 2 square numbers subtract to make 9672?" is 10201 and 529 as illustrated below:

10201 - 529 = 9672

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 9672. Below we list alternate solutions if available.

11881 - 2209 = 9672
14161 - 4489 = 9672
39601 - 29929 = 9672

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