What 2 square numbers subtract to make 263?

What two square numbers subtract to make 263? In other words, when you subtract one square number from another square number, the answer is 263. 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 = 263

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

132² - 131² = 263

132² is 17424 and 131² is 17161, therefore the answer to the question "What 2 square numbers subtract to make 263?" is 17424 and 17161 as illustrated below:

17424 - 17161 = 263

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 263. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 264?
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