What 2 square numbers subtract to make 5001?

What two square numbers subtract to make 5001? In other words, when you subtract one square number from another square number, the answer is 5001. 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 = 5001

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

835² - 832² = 5001

835² is 697225 and 832² is 692224, therefore the answer to the question "What 2 square numbers subtract to make 5001?" is 697225 and 692224 as illustrated below:

697225 - 692224 = 5001

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 5001. Below we list alternate solutions if available.

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