What 2 square numbers subtract to make 5525?

What two square numbers subtract to make 5525? In other words, when you subtract one square number from another square number, the answer is 5525. 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 = 5525

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

75² - 10² = 5525

75² is 5625 and 10² is 100, therefore the answer to the question "What 2 square numbers subtract to make 5525?" is 5625 and 100 as illustrated below:

5625 - 100 = 5525

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 5525. Below we list alternate solutions if available.

15129 - 9604 = 5525
29241 - 23716 = 5525
47961 - 42436 = 5525

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