What 2 square numbers subtract to make 9632?

What two square numbers subtract to make 9632? In other words, when you subtract one square number from another square number, the answer is 9632. 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 = 9632

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

99² - 13² = 9632

99² is 9801 and 13² is 169, therefore the answer to the question "What 2 square numbers subtract to make 9632?" is 9801 and 169 as illustrated below:

9801 - 169 = 9632

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 9632. Below we list alternate solutions if available.

12996 - 3364 = 9632
34596 - 24964 = 9632
95481 - 85849 = 9632

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What 2 square numbers subtract to make 9633?
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