What 2 square numbers subtract to make 9537?

What two square numbers subtract to make 9537? In other words, when you subtract one square number from another square number, the answer is 9537. 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 = 9537

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

119² - 68² = 9537

119² is 14161 and 68² is 4624, therefore the answer to the question "What 2 square numbers subtract to make 9537?" is 14161 and 4624 as illustrated below:

14161 - 4624 = 9537

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 9537. Below we list alternate solutions if available.

25921 - 16384 = 9537
83521 - 73984 = 9537
192721 - 183184 = 9537

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