What 2 square numbers subtract to make 4563?

What two square numbers subtract to make 4563? In other words, when you subtract one square number from another square number, the answer is 4563. 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 = 4563

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

78² - 39² = 4563

78² is 6084 and 39² is 1521, therefore the answer to the question "What 2 square numbers subtract to make 4563?" is 6084 and 1521 as illustrated below:

6084 - 1521 = 4563

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 4563. Below we list alternate solutions if available.

9604 - 5041 = 4563
33124 - 28561 = 4563
66564 - 62001 = 4563

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