What 2 square numbers subtract to make 9300?

What two square numbers subtract to make 9300? In other words, when you subtract one square number from another square number, the answer is 9300. 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 = 9300

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

106² - 44² = 9300

106² is 11236 and 44² is 1936, therefore the answer to the question "What 2 square numbers subtract to make 9300?" is 11236 and 1936 as illustrated below:

11236 - 1936 = 9300

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 9300. Below we list alternate solutions if available.

13924 - 4624 = 9300
28900 - 19600 = 9300
220900 - 211600 = 9300

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