What 2 square numbers subtract to make 1987?

What two square numbers subtract to make 1987? In other words, when you subtract one square number from another square number, the answer is 1987. 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 = 1987

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

994² - 993² = 1987

994² is 988036 and 993² is 986049, therefore the answer to the question "What 2 square numbers subtract to make 1987?" is 988036 and 986049 as illustrated below:

988036 - 986049 = 1987

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 1987. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 1988?
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