What 2 square numbers subtract to make 7512?

What two square numbers subtract to make 7512? In other words, when you subtract one square number from another square number, the answer is 7512. 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 = 7512

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

319² - 307² = 7512

319² is 101761 and 307² is 94249, therefore the answer to the question "What 2 square numbers subtract to make 7512?" is 101761 and 94249 as illustrated below:

101761 - 94249 = 7512

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 7512. Below we list alternate solutions if available.

395641 - 388129 = 7512
885481 - 877969 = 7512

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