What 2 square numbers subtract to make 467?

What two square numbers subtract to make 467? In other words, when you subtract one square number from another square number, the answer is 467. 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 = 467

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

234² - 233² = 467

234² is 54756 and 233² is 54289, therefore the answer to the question "What 2 square numbers subtract to make 467?" is 54756 and 54289 as illustrated below:

54756 - 54289 = 467

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 467. Below we list alternate solutions if available.

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