What 2 square numbers subtract to make 7803?

What two square numbers subtract to make 7803? In other words, when you subtract one square number from another square number, the answer is 7803. 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 = 7803

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

102² - 51² = 7803

102² is 10404 and 51² is 2601, therefore the answer to the question "What 2 square numbers subtract to make 7803?" is 10404 and 2601 as illustrated below:

10404 - 2601 = 7803

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 7803. Below we list alternate solutions if available.

24964 - 17161 = 7803
56644 - 48841 = 7803
191844 - 184041 = 7803

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What 2 square numbers subtract to make 7804?
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