What 2 square numbers subtract to make 4531?

What two square numbers subtract to make 4531? In other words, when you subtract one square number from another square number, the answer is 4531. 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 = 4531

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

110² - 87² = 4531

110² is 12100 and 87² is 7569, therefore the answer to the question "What 2 square numbers subtract to make 4531?" is 12100 and 7569 as illustrated below:

12100 - 7569 = 4531

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 4531. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 4532?
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