What 2 square numbers subtract to make 6149?

What two square numbers subtract to make 6149? In other words, when you subtract one square number from another square number, the answer is 6149. 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 = 6149

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

93² - 50² = 6149

93² is 8649 and 50² is 2500, therefore the answer to the question "What 2 square numbers subtract to make 6149?" is 8649 and 2500 as illustrated below:

8649 - 2500 = 6149

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 6149. Below we list alternate solutions if available.

59049 - 52900 = 6149
81225 - 75076 = 6149

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