What 2 square numbers subtract to make 1087?

What two square numbers subtract to make 1087? In other words, when you subtract one square number from another square number, the answer is 1087. 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 = 1087

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

544² - 543² = 1087

544² is 295936 and 543² is 294849, therefore the answer to the question "What 2 square numbers subtract to make 1087?" is 295936 and 294849 as illustrated below:

295936 - 294849 = 1087

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 1087. Below we list alternate solutions if available.

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