What 2 square numbers subtract to make 1351?

What two square numbers subtract to make 1351? In other words, when you subtract one square number from another square number, the answer is 1351. 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 = 1351

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

100² - 93² = 1351

100² is 10000 and 93² is 8649, therefore the answer to the question "What 2 square numbers subtract to make 1351?" is 10000 and 8649 as illustrated below:

10000 - 8649 = 1351

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 1351. Below we list alternate solutions if available.

456976 - 455625 = 1351

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