What 2 square numbers subtract to make 5140?

What two square numbers subtract to make 5140? In other words, when you subtract one square number from another square number, the answer is 5140. 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 = 5140

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

262² - 252² = 5140

262² is 68644 and 252² is 63504, therefore the answer to the question "What 2 square numbers subtract to make 5140?" is 68644 and 63504 as illustrated below:

68644 - 63504 = 5140

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 5140. Below we list alternate solutions if available.

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