What 2 square numbers subtract to make 8149?

What two square numbers subtract to make 8149? In other words, when you subtract one square number from another square number, the answer is 8149. 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 = 8149

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

155² - 126² = 8149

155² is 24025 and 126² is 15876, therefore the answer to the question "What 2 square numbers subtract to make 8149?" is 24025 and 15876 as illustrated below:

24025 - 15876 = 8149

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 8149. Below we list alternate solutions if available.

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