What 2 square numbers subtract to make 229?

What two square numbers subtract to make 229? In other words, when you subtract one square number from another square number, the answer is 229. 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 = 229

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

115² - 114² = 229

115² is 13225 and 114² is 12996, therefore the answer to the question "What 2 square numbers subtract to make 229?" is 13225 and 12996 as illustrated below:

13225 - 12996 = 229

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 229. Below we list alternate solutions if available.

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