What 2 square numbers subtract to make 1269?

What two square numbers subtract to make 1269? In other words, when you subtract one square number from another square number, the answer is 1269. 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 = 1269

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

37² - 10² = 1269

37² is 1369 and 10² is 100, therefore the answer to the question "What 2 square numbers subtract to make 1269?" is 1369 and 100 as illustrated below:

1369 - 100 = 1269

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 1269. Below we list alternate solutions if available.

5625 - 4356 = 1269
45369 - 44100 = 1269
403225 - 401956 = 1269

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