What 2 square numbers subtract to make 2051?

What two square numbers subtract to make 2051? In other words, when you subtract one square number from another square number, the answer is 2051. 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 = 2051

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

150² - 143² = 2051

150² is 22500 and 143² is 20449, therefore the answer to the question "What 2 square numbers subtract to make 2051?" is 22500 and 20449 as illustrated below:

22500 - 20449 = 2051

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 2051. Below we list alternate solutions if available.

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