What 2 square numbers subtract to make 5089?

What two square numbers subtract to make 5089? In other words, when you subtract one square number from another square number, the answer is 5089. 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 = 5089

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

367² - 360² = 5089

367² is 134689 and 360² is 129600, therefore the answer to the question "What 2 square numbers subtract to make 5089?" is 134689 and 129600 as illustrated below:

134689 - 129600 = 5089

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 5089. Below we list alternate solutions if available.

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