What 2 square numbers subtract to make 921?

What two square numbers subtract to make 921? In other words, when you subtract one square number from another square number, the answer is 921. 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 = 921

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

155² - 152² = 921

155² is 24025 and 152² is 23104, therefore the answer to the question "What 2 square numbers subtract to make 921?" is 24025 and 23104 as illustrated below:

24025 - 23104 = 921

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 921. Below we list alternate solutions if available.

212521 - 211600 = 921

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