What 2 square numbers subtract to make 4037?

What two square numbers subtract to make 4037? In other words, when you subtract one square number from another square number, the answer is 4037. 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 = 4037

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

189² - 178² = 4037

189² is 35721 and 178² is 31684, therefore the answer to the question "What 2 square numbers subtract to make 4037?" is 35721 and 31684 as illustrated below:

35721 - 31684 = 4037

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 4037. Below we list alternate solutions if available.

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