What 2 square numbers subtract to make 3095?

What two square numbers subtract to make 3095? In other words, when you subtract one square number from another square number, the answer is 3095. 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 = 3095

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

312² - 307² = 3095

312² is 97344 and 307² is 94249, therefore the answer to the question "What 2 square numbers subtract to make 3095?" is 97344 and 94249 as illustrated below:

97344 - 94249 = 3095

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 3095. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 3096?
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