What 2 square numbers subtract to make 3155?

What two square numbers subtract to make 3155? In other words, when you subtract one square number from another square number, the answer is 3155. 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 = 3155

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

318² - 313² = 3155

318² is 101124 and 313² is 97969, therefore the answer to the question "What 2 square numbers subtract to make 3155?" is 101124 and 97969 as illustrated below:

101124 - 97969 = 3155

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 3155. Below we list alternate solutions if available.

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