What 2 square numbers subtract to make 4899?

What two square numbers subtract to make 4899? In other words, when you subtract one square number from another square number, the answer is 4899. 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 = 4899

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

70² - 1² = 4899

70² is 4900 and 1² is 1, therefore the answer to the question "What 2 square numbers subtract to make 4899?" is 4900 and 1 as illustrated below:

4900 - 1 = 4899

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 4899. Below we list alternate solutions if available.

13924 - 9025 = 4899
669124 - 664225 = 4899

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What 2 square numbers subtract to make 4900?
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