What 2 square numbers subtract to make 601?

What two square numbers subtract to make 601? In other words, when you subtract one square number from another square number, the answer is 601. 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 = 601

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

301² - 300² = 601

301² is 90601 and 300² is 90000, therefore the answer to the question "What 2 square numbers subtract to make 601?" is 90601 and 90000 as illustrated below:

90601 - 90000 = 601

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 601. Below we list alternate solutions if available.

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