What 2 square numbers subtract to make 6743?

What two square numbers subtract to make 6743? In other words, when you subtract one square number from another square number, the answer is 6743. 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 = 6743

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

312² - 301² = 6743

312² is 97344 and 301² is 90601, therefore the answer to the question "What 2 square numbers subtract to make 6743?" is 97344 and 90601 as illustrated below:

97344 - 90601 = 6743

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 6743. Below we list alternate solutions if available.

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