What 2 square numbers subtract to make 7063?

What two square numbers subtract to make 7063? In other words, when you subtract one square number from another square number, the answer is 7063. 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 = 7063

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

508² - 501² = 7063

508² is 258064 and 501² is 251001, therefore the answer to the question "What 2 square numbers subtract to make 7063?" is 258064 and 251001 as illustrated below:

258064 - 251001 = 7063

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 7063. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 7064?
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