What 2 square numbers subtract to make 5096?

What two square numbers subtract to make 5096? In other words, when you subtract one square number from another square number, the answer is 5096. 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 = 5096

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

75² - 23² = 5096

75² is 5625 and 23² is 529, therefore the answer to the question "What 2 square numbers subtract to make 5096?" is 5625 and 529 as illustrated below:

5625 - 529 = 5096

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 5096. Below we list alternate solutions if available.

11025 - 5929 = 5096
12321 - 7225 = 5096
35721 - 30625 = 5096

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