What 2 square numbers subtract to make 7659?

What two square numbers subtract to make 7659? In other words, when you subtract one square number from another square number, the answer is 7659. 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 = 7659

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

90² - 21² = 7659

90² is 8100 and 21² is 441, therefore the answer to the question "What 2 square numbers subtract to make 7659?" is 8100 and 441 as illustrated below:

8100 - 441 = 7659

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 7659. Below we list alternate solutions if available.

14884 - 7225 = 7659
31684 - 24025 = 7659
184900 - 177241 = 7659

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