What 2 square numbers subtract to make 9740?

What two square numbers subtract to make 9740? In other words, when you subtract one square number from another square number, the answer is 9740. 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 = 9740

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

492² - 482² = 9740

492² is 242064 and 482² is 232324, therefore the answer to the question "What 2 square numbers subtract to make 9740?" is 242064 and 232324 as illustrated below:

242064 - 232324 = 9740

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 9740. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 9741?
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