What 2 square numbers subtract to make 7513?

What two square numbers subtract to make 7513? In other words, when you subtract one square number from another square number, the answer is 7513. 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 = 7513

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

347² - 336² = 7513

347² is 120409 and 336² is 112896, therefore the answer to the question "What 2 square numbers subtract to make 7513?" is 120409 and 112896 as illustrated below:

120409 - 112896 = 7513

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 7513. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 7514?
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