What 2 square numbers subtract to make 4529?

What two square numbers subtract to make 4529? In other words, when you subtract one square number from another square number, the answer is 4529. 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 = 4529

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

327² - 320² = 4529

327² is 106929 and 320² is 102400, therefore the answer to the question "What 2 square numbers subtract to make 4529?" is 106929 and 102400 as illustrated below:

106929 - 102400 = 4529

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 4529. Below we list alternate solutions if available.

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