What 2 square numbers subtract to make 7315?

What two square numbers subtract to make 7315? In other words, when you subtract one square number from another square number, the answer is 7315. 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 = 7315

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

86² - 9² = 7315

86² is 7396 and 9² is 81, therefore the answer to the question "What 2 square numbers subtract to make 7315?" is 7396 and 81 as illustrated below:

7396 - 81 = 7315

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 7315. Below we list alternate solutions if available.

8836 - 1521 = 7315
14884 - 7569 = 7315
40804 - 33489 = 7315

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