What 2 square numbers subtract to make 524?

What two square numbers subtract to make 524? In other words, when you subtract one square number from another square number, the answer is 524. 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 = 524

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

132² - 130² = 524

132² is 17424 and 130² is 16900, therefore the answer to the question "What 2 square numbers subtract to make 524?" is 17424 and 16900 as illustrated below:

17424 - 16900 = 524

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 524. Below we list alternate solutions if available.

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