What 2 square numbers subtract to make 4509?

What two square numbers subtract to make 4509? In other words, when you subtract one square number from another square number, the answer is 4509. 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 = 4509

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

97² - 70² = 4509

97² is 9409 and 70² is 4900, therefore the answer to the question "What 2 square numbers subtract to make 4509?" is 9409 and 4900 as illustrated below:

9409 - 4900 = 4509

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 4509. Below we list alternate solutions if available.

65025 - 60516 = 4509
567009 - 562500 = 4509

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