What 2 square numbers subtract to make 4315?

What two square numbers subtract to make 4315? In other words, when you subtract one square number from another square number, the answer is 4315. 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 = 4315

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

434² - 429² = 4315

434² is 188356 and 429² is 184041, therefore the answer to the question "What 2 square numbers subtract to make 4315?" is 188356 and 184041 as illustrated below:

188356 - 184041 = 4315

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 4315. Below we list alternate solutions if available.

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