What 2 square numbers subtract to make 969?

What two square numbers subtract to make 969? In other words, when you subtract one square number from another square number, the answer is 969. 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 = 969

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

35² - 16² = 969

35² is 1225 and 16² is 256, therefore the answer to the question "What 2 square numbers subtract to make 969?" is 1225 and 256 as illustrated below:

1225 - 256 = 969

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 969. Below we list alternate solutions if available.

1369 - 400 = 969
26569 - 25600 = 969
235225 - 234256 = 969

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