What 2 square numbers subtract to make 97?

What two square numbers subtract to make 97? In other words, when you subtract one square number from another square number, the answer is 97. 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 = 97

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

49² - 48² = 97

49² is 2401 and 48² is 2304, therefore the answer to the question "What 2 square numbers subtract to make 97?" is 2401 and 2304 as illustrated below:

2401 - 2304 = 97

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 97. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 98?
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