What 2 square numbers subtract to make 9045?

What two square numbers subtract to make 9045? In other words, when you subtract one square number from another square number, the answer is 9045. 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 = 9045

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

101² - 34² = 9045

101² is 10201 and 34² is 1156, therefore the answer to the question "What 2 square numbers subtract to make 9045?" is 10201 and 1156 as illustrated below:

10201 - 1156 = 9045

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 9045. Below we list alternate solutions if available.

15129 - 6084 = 9045
32761 - 23716 = 9045
95481 - 86436 = 9045

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