What 2 square numbers subtract to make 2424?

What two square numbers subtract to make 2424? In other words, when you subtract one square number from another square number, the answer is 2424. 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 = 2424

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

107² - 95² = 2424

107² is 11449 and 95² is 9025, therefore the answer to the question "What 2 square numbers subtract to make 2424?" is 11449 and 9025 as illustrated below:

11449 - 9025 = 2424

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 2424. Below we list alternate solutions if available.

42025 - 39601 = 2424
93025 - 90601 = 2424
368449 - 366025 = 2424

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What 2 square numbers subtract to make 2425?
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