What 2 square numbers subtract to make 9037?

What two square numbers subtract to make 9037? In other words, when you subtract one square number from another square number, the answer is 9037. 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 = 9037

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

649² - 642² = 9037

649² is 421201 and 642² is 412164, therefore the answer to the question "What 2 square numbers subtract to make 9037?" is 421201 and 412164 as illustrated below:

421201 - 412164 = 9037

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 9037. Below we list alternate solutions if available.

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