What 2 square numbers subtract to make 1069?

What two square numbers subtract to make 1069? In other words, when you subtract one square number from another square number, the answer is 1069. 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 = 1069

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

535² - 534² = 1069

535² is 286225 and 534² is 285156, therefore the answer to the question "What 2 square numbers subtract to make 1069?" is 286225 and 285156 as illustrated below:

286225 - 285156 = 1069

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 1069. Below we list alternate solutions if available.

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