What 2 square numbers subtract to make 9096?

What two square numbers subtract to make 9096? In other words, when you subtract one square number from another square number, the answer is 9096. 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 = 9096

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

385² - 373² = 9096

385² is 148225 and 373² is 139129, therefore the answer to the question "What 2 square numbers subtract to make 9096?" is 148225 and 139129 as illustrated below:

148225 - 139129 = 9096

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 9096. Below we list alternate solutions if available.

579121 - 570025 = 9096

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