What 2 square numbers subtract to make 7511?

What two square numbers subtract to make 7511? In other words, when you subtract one square number from another square number, the answer is 7511. 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 = 7511

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

120² - 83² = 7511

120² is 14400 and 83² is 6889, therefore the answer to the question "What 2 square numbers subtract to make 7511?" is 14400 and 6889 as illustrated below:

14400 - 6889 = 7511

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 7511. Below we list alternate solutions if available.

20736 - 13225 = 7511
291600 - 284089 = 7511

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