What 2 square numbers subtract to make 4541?

What two square numbers subtract to make 4541? In other words, when you subtract one square number from another square number, the answer is 4541. 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 = 4541

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

129² - 110² = 4541

129² is 16641 and 110² is 12100, therefore the answer to the question "What 2 square numbers subtract to make 4541?" is 16641 and 12100 as illustrated below:

16641 - 12100 = 4541

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 4541. Below we list alternate solutions if available.

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