What 2 square numbers subtract to make 9139?

What two square numbers subtract to make 9139? In other words, when you subtract one square number from another square number, the answer is 9139. 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 = 9139

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

142² - 105² = 9139

142² is 20164 and 105² is 11025, therefore the answer to the question "What 2 square numbers subtract to make 9139?" is 20164 and 11025 as illustrated below:

20164 - 11025 = 9139

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 9139. Below we list alternate solutions if available.

62500 - 53361 = 9139
128164 - 119025 = 9139

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