What 2 square numbers subtract to make 1045?

What two square numbers subtract to make 1045? In other words, when you subtract one square number from another square number, the answer is 1045. 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 = 1045

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

37² - 18² = 1045

37² is 1369 and 18² is 324, therefore the answer to the question "What 2 square numbers subtract to make 1045?" is 1369 and 324 as illustrated below:

1369 - 324 = 1045

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 1045. Below we list alternate solutions if available.

2809 - 1764 = 1045
11449 - 10404 = 1045
273529 - 272484 = 1045

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