What 2 square numbers subtract to make 1659?

What two square numbers subtract to make 1659? In other words, when you subtract one square number from another square number, the answer is 1659. 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 = 1659

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

50² - 29² = 1659

50² is 2500 and 29² is 841, therefore the answer to the question "What 2 square numbers subtract to make 1659?" is 2500 and 841 as illustrated below:

2500 - 841 = 1659

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 1659. Below we list alternate solutions if available.

14884 - 13225 = 1659
77284 - 75625 = 1659
688900 - 687241 = 1659

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