What 2 square numbers subtract to make 9927?

What two square numbers subtract to make 9927? In other words, when you subtract one square number from another square number, the answer is 9927. 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 = 9927

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

556² - 547² = 9927

556² is 309136 and 547² is 299209, therefore the answer to the question "What 2 square numbers subtract to make 9927?" is 309136 and 299209 as illustrated below:

309136 - 299209 = 9927

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 9927. Below we list alternate solutions if available.

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