What 2 square numbers subtract to make 5789?

What two square numbers subtract to make 5789? In other words, when you subtract one square number from another square number, the answer is 5789. 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 = 5789

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

417² - 410² = 5789

417² is 173889 and 410² is 168100, therefore the answer to the question "What 2 square numbers subtract to make 5789?" is 173889 and 168100 as illustrated below:

173889 - 168100 = 5789

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 5789. Below we list alternate solutions if available.

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