What 2 square numbers subtract to make 9520?

What two square numbers subtract to make 9520? In other words, when you subtract one square number from another square number, the answer is 9520. 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 = 9520

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

103² - 33² = 9520

103² is 10609 and 33² is 1089, therefore the answer to the question "What 2 square numbers subtract to make 9520?" is 10609 and 1089 as illustrated below:

10609 - 1089 = 9520

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 9520. Below we list alternate solutions if available.

10816 - 1296 = 9520
12769 - 3249 = 9520
19321 - 9801 = 9520

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What 2 square numbers subtract to make 9521?
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