What 2 square numbers subtract to make 543?

What two square numbers subtract to make 543? In other words, when you subtract one square number from another square number, the answer is 543. 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 = 543

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

92² - 89² = 543

92² is 8464 and 89² is 7921, therefore the answer to the question "What 2 square numbers subtract to make 543?" is 8464 and 7921 as illustrated below:

8464 - 7921 = 543

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 543. Below we list alternate solutions if available.

73984 - 73441 = 543

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