What 2 square numbers subtract to make 7120?

What two square numbers subtract to make 7120? In other words, when you subtract one square number from another square number, the answer is 7120. 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 = 7120

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

109² - 69² = 7120

109² is 11881 and 69² is 4761, therefore the answer to the question "What 2 square numbers subtract to make 7120?" is 11881 and 4761 as illustrated below:

11881 - 4761 = 7120

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 7120. Below we list alternate solutions if available.

35344 - 28224 = 7120
130321 - 123201 = 7120
201601 - 194481 = 7120

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