What 2 square numbers subtract to make 8685?

What two square numbers subtract to make 8685? In other words, when you subtract one square number from another square number, the answer is 8685. 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 = 8685

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

119² - 74² = 8685

119² is 14161 and 74² is 5476, therefore the answer to the question "What 2 square numbers subtract to make 8685?" is 14161 and 5476 as illustrated below:

14161 - 5476 = 8685

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 8685. Below we list alternate solutions if available.

88209 - 79524 = 8685
237169 - 228484 = 8685
758641 - 749956 = 8685

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What 2 square numbers subtract to make 8686?
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