What 2 square numbers subtract to make 9020?

What two square numbers subtract to make 9020? In other words, when you subtract one square number from another square number, the answer is 9020. 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 = 9020

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

96² - 14² = 9020

96² is 9216 and 14² is 196, therefore the answer to the question "What 2 square numbers subtract to make 9020?" is 9216 and 196 as illustrated below:

9216 - 196 = 9020

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 9020. Below we list alternate solutions if available.

46656 - 37636 = 9020
207936 - 198916 = 9020

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