What 2 square numbers subtract to make 2149?

What two square numbers subtract to make 2149? In other words, when you subtract one square number from another square number, the answer is 2149. 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 = 2149

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

157² - 150² = 2149

157² is 24649 and 150² is 22500, therefore the answer to the question "What 2 square numbers subtract to make 2149?" is 24649 and 22500 as illustrated below:

24649 - 22500 = 2149

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 2149. Below we list alternate solutions if available.

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