What 2 square numbers subtract to make 1673?

What two square numbers subtract to make 1673? In other words, when you subtract one square number from another square number, the answer is 1673. 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 = 1673

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

123² - 116² = 1673

123² is 15129 and 116² is 13456, therefore the answer to the question "What 2 square numbers subtract to make 1673?" is 15129 and 13456 as illustrated below:

15129 - 13456 = 1673

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 1673. Below we list alternate solutions if available.

700569 - 698896 = 1673

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