What 2 square numbers subtract to make 120?

What two square numbers subtract to make 120? In other words, when you subtract one square number from another square number, the answer is 120. 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 = 120

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

11² - 1² = 120

11² is 121 and 1² is 1, therefore the answer to the question "What 2 square numbers subtract to make 120?" is 121 and 1 as illustrated below:

121 - 1 = 120

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 120. Below we list alternate solutions if available.

169 - 49 = 120
289 - 169 = 120
961 - 841 = 120

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What 2 square numbers subtract to make 121?
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