What 2 square numbers subtract to make 1543?

What two square numbers subtract to make 1543? In other words, when you subtract one square number from another square number, the answer is 1543. 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 = 1543

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

772² - 771² = 1543

772² is 595984 and 771² is 594441, therefore the answer to the question "What 2 square numbers subtract to make 1543?" is 595984 and 594441 as illustrated below:

595984 - 594441 = 1543

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 1543. Below we list alternate solutions if available.

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