What 2 square numbers subtract to make 5312?

What two square numbers subtract to make 5312? In other words, when you subtract one square number from another square number, the answer is 5312. 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 = 5312

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

99² - 67² = 5312

99² is 9801 and 67² is 4489, therefore the answer to the question "What 2 square numbers subtract to make 5312?" is 9801 and 4489 as illustrated below:

9801 - 4489 = 5312

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 5312. Below we list alternate solutions if available.

30276 - 24964 = 5312
112896 - 107584 = 5312
443556 - 438244 = 5312

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