What 2 square numbers subtract to make 6115?

What two square numbers subtract to make 6115? In other words, when you subtract one square number from another square number, the answer is 6115. 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 = 6115

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

614² - 609² = 6115

614² is 376996 and 609² is 370881, therefore the answer to the question "What 2 square numbers subtract to make 6115?" is 376996 and 370881 as illustrated below:

376996 - 370881 = 6115

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 6115. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 6116?
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