What 2 square numbers subtract to make 3035?

What two square numbers subtract to make 3035? In other words, when you subtract one square number from another square number, the answer is 3035. 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 = 3035

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

306² - 301² = 3035

306² is 93636 and 301² is 90601, therefore the answer to the question "What 2 square numbers subtract to make 3035?" is 93636 and 90601 as illustrated below:

93636 - 90601 = 3035

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 3035. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 3036?
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