What 2 square numbers subtract to make 1288?

What two square numbers subtract to make 1288? In other words, when you subtract one square number from another square number, the answer is 1288. 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 = 1288

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

37² - 9² = 1288

37² is 1369 and 9² is 81, therefore the answer to the question "What 2 square numbers subtract to make 1288?" is 1369 and 81 as illustrated below:

1369 - 81 = 1288

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 1288. Below we list alternate solutions if available.

2809 - 1521 = 1288
26569 - 25281 = 1288
104329 - 103041 = 1288

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