What 2 square numbers subtract to make 9424?

What two square numbers subtract to make 9424? In other words, when you subtract one square number from another square number, the answer is 9424. 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 = 9424

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

100² - 24² = 9424

100² is 10000 and 24² is 576, therefore the answer to the question "What 2 square numbers subtract to make 9424?" is 10000 and 576 as illustrated below:

10000 - 576 = 9424

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 9424. Below we list alternate solutions if available.

11449 - 2025 = 9424
20449 - 11025 = 9424
351649 - 342225 = 9424

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