What 2 square numbers subtract to make 1509?

What two square numbers subtract to make 1509? In other words, when you subtract one square number from another square number, the answer is 1509. 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 = 1509

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

253² - 250² = 1509

253² is 64009 and 250² is 62500, therefore the answer to the question "What 2 square numbers subtract to make 1509?" is 64009 and 62500 as illustrated below:

64009 - 62500 = 1509

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 1509. Below we list alternate solutions if available.

570025 - 568516 = 1509

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