What 2 square numbers subtract to make 131?

What two square numbers subtract to make 131? In other words, when you subtract one square number from another square number, the answer is 131. 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 = 131

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

66² - 65² = 131

66² is 4356 and 65² is 4225, therefore the answer to the question "What 2 square numbers subtract to make 131?" is 4356 and 4225 as illustrated below:

4356 - 4225 = 131

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 131. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 132?
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