What 2 square numbers subtract to make 5137?

What two square numbers subtract to make 5137? In other words, when you subtract one square number from another square number, the answer is 5137. 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 = 5137

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

239² - 228² = 5137

239² is 57121 and 228² is 51984, therefore the answer to the question "What 2 square numbers subtract to make 5137?" is 57121 and 51984 as illustrated below:

57121 - 51984 = 5137

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 5137. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 5138?
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