What 2 square numbers subtract to make 4296?

What two square numbers subtract to make 4296? In other words, when you subtract one square number from another square number, the answer is 4296. 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 = 4296

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

185² - 173² = 4296

185² is 34225 and 173² is 29929, therefore the answer to the question "What 2 square numbers subtract to make 4296?" is 34225 and 29929 as illustrated below:

34225 - 29929 = 4296

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 4296. Below we list alternate solutions if available.

130321 - 126025 = 4296
290521 - 286225 = 4296

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