What 2 square numbers subtract to make 283?

What two square numbers subtract to make 283? In other words, when you subtract one square number from another square number, the answer is 283. 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 = 283

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

142² - 141² = 283

142² is 20164 and 141² is 19881, therefore the answer to the question "What 2 square numbers subtract to make 283?" is 20164 and 19881 as illustrated below:

20164 - 19881 = 283

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 283. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 284?
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