What 2 square numbers subtract to make 5131?

What two square numbers subtract to make 5131? In other words, when you subtract one square number from another square number, the answer is 5131. 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 = 5131

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

370² - 363² = 5131

370² is 136900 and 363² is 131769, therefore the answer to the question "What 2 square numbers subtract to make 5131?" is 136900 and 131769 as illustrated below:

136900 - 131769 = 5131

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 5131. Below we list alternate solutions if available.

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