What 2 square numbers subtract to make 4589?

What two square numbers subtract to make 4589? In other words, when you subtract one square number from another square number, the answer is 4589. 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 = 4589

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

183² - 170² = 4589

183² is 33489 and 170² is 28900, therefore the answer to the question "What 2 square numbers subtract to make 4589?" is 33489 and 28900 as illustrated below:

33489 - 28900 = 4589

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 4589. Below we list alternate solutions if available.

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