What 2 square numbers subtract to make 9979?

What two square numbers subtract to make 9979? In other words, when you subtract one square number from another square number, the answer is 9979. 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 = 9979

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

302² - 285² = 9979

302² is 91204 and 285² is 81225, therefore the answer to the question "What 2 square numbers subtract to make 9979?" is 91204 and 81225 as illustrated below:

91204 - 81225 = 9979

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 9979. Below we list alternate solutions if available.

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