What 2 square numbers subtract to make 917?

What two square numbers subtract to make 917? In other words, when you subtract one square number from another square number, the answer is 917. 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 = 917

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

69² - 62² = 917

69² is 4761 and 62² is 3844, therefore the answer to the question "What 2 square numbers subtract to make 917?" is 4761 and 3844 as illustrated below:

4761 - 3844 = 917

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 917. Below we list alternate solutions if available.

210681 - 209764 = 917

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