What 2 square numbers subtract to make 5155?

What two square numbers subtract to make 5155? In other words, when you subtract one square number from another square number, the answer is 5155. 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 = 5155

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

518² - 513² = 5155

518² is 268324 and 513² is 263169, therefore the answer to the question "What 2 square numbers subtract to make 5155?" is 268324 and 263169 as illustrated below:

268324 - 263169 = 5155

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 5155. Below we list alternate solutions if available.

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