What 2 square numbers subtract to make 149?

What two square numbers subtract to make 149? In other words, when you subtract one square number from another square number, the answer is 149. 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 = 149

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

75² - 74² = 149

75² is 5625 and 74² is 5476, therefore the answer to the question "What 2 square numbers subtract to make 149?" is 5625 and 5476 as illustrated below:

5625 - 5476 = 149

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 149. Below we list alternate solutions if available.

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