What 2 square numbers subtract to make 9565?

What two square numbers subtract to make 9565? In other words, when you subtract one square number from another square number, the answer is 9565. 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 = 9565

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

959² - 954² = 9565

959² is 919681 and 954² is 910116, therefore the answer to the question "What 2 square numbers subtract to make 9565?" is 919681 and 910116 as illustrated below:

919681 - 910116 = 9565

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 9565. Below we list alternate solutions if available.

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