What 2 square numbers subtract to make 9659?

What two square numbers subtract to make 9659? In other words, when you subtract one square number from another square number, the answer is 9659. 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 = 9659

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

378² - 365² = 9659

378² is 142884 and 365² is 133225, therefore the answer to the question "What 2 square numbers subtract to make 9659?" is 142884 and 133225 as illustrated below:

142884 - 133225 = 9659

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 9659. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 9660?
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