What 2 square numbers subtract to make 5551?

What two square numbers subtract to make 5551? In other words, when you subtract one square number from another square number, the answer is 5551. 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 = 5551

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

76² - 15² = 5551

76² is 5776 and 15² is 225, therefore the answer to the question "What 2 square numbers subtract to make 5551?" is 5776 and 225 as illustrated below:

5776 - 225 = 5551

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 5551. Below we list alternate solutions if available.

48400 - 42849 = 5551
160000 - 154449 = 5551

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