What 2 square numbers subtract to make 7501?

What two square numbers subtract to make 7501? In other words, when you subtract one square number from another square number, the answer is 7501. 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 = 7501

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

295² - 282² = 7501

295² is 87025 and 282² is 79524, therefore the answer to the question "What 2 square numbers subtract to make 7501?" is 87025 and 79524 as illustrated below:

87025 - 79524 = 7501

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 7501. Below we list alternate solutions if available.

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