What 2 square numbers subtract to make 193?

What two square numbers subtract to make 193? In other words, when you subtract one square number from another square number, the answer is 193. 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 = 193

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

97² - 96² = 193

97² is 9409 and 96² is 9216, therefore the answer to the question "What 2 square numbers subtract to make 193?" is 9409 and 9216 as illustrated below:

9409 - 9216 = 193

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 193. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 194?
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