What 2 square numbers subtract to make 9012?

What two square numbers subtract to make 9012? In other words, when you subtract one square number from another square number, the answer is 9012. 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 = 9012

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

754² - 748² = 9012

754² is 568516 and 748² is 559504, therefore the answer to the question "What 2 square numbers subtract to make 9012?" is 568516 and 559504 as illustrated below:

568516 - 559504 = 9012

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 9012. Below we list alternate solutions if available.

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