What 2 square numbers subtract to make 1037?

What two square numbers subtract to make 1037? In other words, when you subtract one square number from another square number, the answer is 1037. 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 = 1037

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

39² - 22² = 1037

39² is 1521 and 22² is 484, therefore the answer to the question "What 2 square numbers subtract to make 1037?" is 1521 and 484 as illustrated below:

1521 - 484 = 1037

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 1037. Below we list alternate solutions if available.

269361 - 268324 = 1037

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