What 2 square numbers subtract to make 755?

What two square numbers subtract to make 755? In other words, when you subtract one square number from another square number, the answer is 755. 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 = 755

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

78² - 73² = 755

78² is 6084 and 73² is 5329, therefore the answer to the question "What 2 square numbers subtract to make 755?" is 6084 and 5329 as illustrated below:

6084 - 5329 = 755

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 755. Below we list alternate solutions if available.

142884 - 142129 = 755

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