What 2 square numbers subtract to make 9667?

What two square numbers subtract to make 9667? In other words, when you subtract one square number from another square number, the answer is 9667. 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 = 9667

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

694² - 687² = 9667

694² is 481636 and 687² is 471969, therefore the answer to the question "What 2 square numbers subtract to make 9667?" is 481636 and 471969 as illustrated below:

481636 - 471969 = 9667

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 9667. Below we list alternate solutions if available.

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