What 2 square numbers subtract to make 1503?

What two square numbers subtract to make 1503? In other words, when you subtract one square number from another square number, the answer is 1503. 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 = 1503

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

88² - 79² = 1503

88² is 7744 and 79² is 6241, therefore the answer to the question "What 2 square numbers subtract to make 1503?" is 7744 and 6241 as illustrated below:

7744 - 6241 = 1503

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 1503. Below we list alternate solutions if available.

63504 - 62001 = 1503
565504 - 564001 = 1503

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