What 2 square numbers subtract to make 7137?

What two square numbers subtract to make 7137? In other words, when you subtract one square number from another square number, the answer is 7137. 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 = 7137

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

89² - 28² = 7137

89² is 7921 and 28² is 784, therefore the answer to the question "What 2 square numbers subtract to make 7137?" is 7921 and 784 as illustrated below:

7921 - 784 = 7137

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 7137. Below we list alternate solutions if available.

12321 - 5184 = 7137
78961 - 71824 = 7137
160801 - 153664 = 7137

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