What 2 square numbers subtract to make 9540?

What two square numbers subtract to make 9540? In other words, when you subtract one square number from another square number, the answer is 9540. 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 = 9540

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

98² - 8² = 9540

98² is 9604 and 8² is 64, therefore the answer to the question "What 2 square numbers subtract to make 9540?" is 9604 and 64 as illustrated below:

9604 - 64 = 9540

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 9540. Below we list alternate solutions if available.

30276 - 20736 = 9540
75076 - 65536 = 9540
232324 - 222784 = 9540

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What 2 square numbers subtract to make 9541?
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