What 2 square numbers subtract to make 9505?

What two square numbers subtract to make 9505? In other words, when you subtract one square number from another square number, the answer is 9505. 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 = 9505

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

953² - 948² = 9505

953² is 908209 and 948² is 898704, therefore the answer to the question "What 2 square numbers subtract to make 9505?" is 908209 and 898704 as illustrated below:

908209 - 898704 = 9505

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 9505. Below we list alternate solutions if available.

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