What 2 square numbers subtract to make 9400?

What two square numbers subtract to make 9400? In other words, when you subtract one square number from another square number, the answer is 9400. 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 = 9400

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

97² - 3² = 9400

97² is 9409 and 3² is 9, therefore the answer to the question "What 2 square numbers subtract to make 9400?" is 9409 and 9 as illustrated below:

9409 - 9 = 9400

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 9400. Below we list alternate solutions if available.

14161 - 4761 = 9400
60025 - 50625 = 9400
225625 - 216225 = 9400

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