What 2 square numbers subtract to make 1033?

What two square numbers subtract to make 1033? In other words, when you subtract one square number from another square number, the answer is 1033. 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 = 1033

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

517² - 516² = 1033

517² is 267289 and 516² is 266256, therefore the answer to the question "What 2 square numbers subtract to make 1033?" is 267289 and 266256 as illustrated below:

267289 - 266256 = 1033

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 1033. Below we list alternate solutions if available.

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