What 2 square numbers subtract to make 4545?

What two square numbers subtract to make 4545? In other words, when you subtract one square number from another square number, the answer is 4545. 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 = 4545

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

73² - 28² = 4545

73² is 5329 and 28² is 784, therefore the answer to the question "What 2 square numbers subtract to make 4545?" is 5329 and 784 as illustrated below:

5329 - 784 = 4545

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 4545. Below we list alternate solutions if available.

25281 - 20736 = 4545
66049 - 61504 = 4545
208849 - 204304 = 4545

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