What 2 square numbers subtract to make 9793?

What two square numbers subtract to make 9793? In other words, when you subtract one square number from another square number, the answer is 9793. 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 = 9793

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

703² - 696² = 9793

703² is 494209 and 696² is 484416, therefore the answer to the question "What 2 square numbers subtract to make 9793?" is 494209 and 484416 as illustrated below:

494209 - 484416 = 9793

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 9793. Below we list alternate solutions if available.

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