What 2 square numbers subtract to make 4511?

What two square numbers subtract to make 4511? In other words, when you subtract one square number from another square number, the answer is 4511. 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 = 4511

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

180² - 167² = 4511

180² is 32400 and 167² is 27889, therefore the answer to the question "What 2 square numbers subtract to make 4511?" is 32400 and 27889 as illustrated below:

32400 - 27889 = 4511

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 4511. Below we list alternate solutions if available.

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