What 2 square numbers subtract to make 907?

What two square numbers subtract to make 907? In other words, when you subtract one square number from another square number, the answer is 907. 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 = 907

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

454² - 453² = 907

454² is 206116 and 453² is 205209, therefore the answer to the question "What 2 square numbers subtract to make 907?" is 206116 and 205209 as illustrated below:

206116 - 205209 = 907

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 907. Below we list alternate solutions if available.

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