What 2 square numbers subtract to make 4653?

What two square numbers subtract to make 4653? In other words, when you subtract one square number from another square number, the answer is 4653. 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 = 4653

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

73² - 26² = 4653

73² is 5329 and 26² is 676, therefore the answer to the question "What 2 square numbers subtract to make 4653?" is 5329 and 676 as illustrated below:

5329 - 676 = 4653

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 4653. Below we list alternate solutions if available.

7569 - 2916 = 4653
47089 - 42436 = 4653
69169 - 64516 = 4653

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