What 2 square numbers subtract to make 4312?

What two square numbers subtract to make 4312? In other words, when you subtract one square number from another square number, the answer is 4312. 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 = 4312

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

71² - 27² = 4312

71² is 5041 and 27² is 729, therefore the answer to the question "What 2 square numbers subtract to make 4312?" is 5041 and 729 as illustrated below:

5041 - 729 = 4312

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 4312. Below we list alternate solutions if available.

8281 - 3969 = 4312
11881 - 7569 = 4312
25921 - 21609 = 4312

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