What 2 square numbers subtract to make 9755?

What two square numbers subtract to make 9755? In other words, when you subtract one square number from another square number, the answer is 9755. 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 = 9755

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

978² - 973² = 9755

978² is 956484 and 973² is 946729, therefore the answer to the question "What 2 square numbers subtract to make 9755?" is 956484 and 946729 as illustrated below:

956484 - 946729 = 9755

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 9755. Below we list alternate solutions if available.

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