What 2 square numbers subtract to make 1093?

What two square numbers subtract to make 1093? In other words, when you subtract one square number from another square number, the answer is 1093. 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 = 1093

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

547² - 546² = 1093

547² is 299209 and 546² is 298116, therefore the answer to the question "What 2 square numbers subtract to make 1093?" is 299209 and 298116 as illustrated below:

299209 - 298116 = 1093

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 1093. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 1094?
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