What 2 square numbers subtract to make 9469?

What two square numbers subtract to make 9469? In other words, when you subtract one square number from another square number, the answer is 9469. 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 = 9469

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

287² - 270² = 9469

287² is 82369 and 270² is 72900, therefore the answer to the question "What 2 square numbers subtract to make 9469?" is 82369 and 72900 as illustrated below:

82369 - 72900 = 9469

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 9469. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 9470?
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