What 2 square numbers subtract to make 9757?

What two square numbers subtract to make 9757? In other words, when you subtract one square number from another square number, the answer is 9757. 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 = 9757

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

449² - 438² = 9757

449² is 201601 and 438² is 191844, therefore the answer to the question "What 2 square numbers subtract to make 9757?" is 201601 and 191844 as illustrated below:

201601 - 191844 = 9757

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 9757. Below we list alternate solutions if available.

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