What 2 square numbers subtract to make 4288?

What two square numbers subtract to make 4288? In other words, when you subtract one square number from another square number, the answer is 4288. 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 = 4288

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

83² - 51² = 4288

83² is 6889 and 51² is 2601, therefore the answer to the question "What 2 square numbers subtract to make 4288?" is 6889 and 2601 as illustrated below:

6889 - 2601 = 4288

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 4288. Below we list alternate solutions if available.

20164 - 15876 = 4288
73984 - 69696 = 4288
289444 - 285156 = 4288

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