What 2 square numbers subtract to make 9315?

What two square numbers subtract to make 9315? In other words, when you subtract one square number from another square number, the answer is 9315. 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 = 9315

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

98² - 17² = 9315

98² is 9604 and 17² is 289, therefore the answer to the question "What 2 square numbers subtract to make 9315?" is 9604 and 289 as illustrated below:

9604 - 289 = 9315

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 9315. Below we list alternate solutions if available.

10404 - 1089 = 9315
15876 - 6561 = 9315
34596 - 25281 = 9315

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