What 2 square numbers subtract to make 1715?

What two square numbers subtract to make 1715? In other words, when you subtract one square number from another square number, the answer is 1715. 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 = 1715

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

42² - 7² = 1715

42² is 1764 and 7² is 49, therefore the answer to the question "What 2 square numbers subtract to make 1715?" is 1764 and 49 as illustrated below:

1764 - 49 = 1715

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 1715. Below we list alternate solutions if available.

15876 - 14161 = 1715
30276 - 28561 = 1715
736164 - 734449 = 1715

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