What 2 square numbers subtract to make 9429?

What two square numbers subtract to make 9429? In other words, when you subtract one square number from another square number, the answer is 9429. 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 = 9429

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

235² - 214² = 9429

235² is 55225 and 214² is 45796, therefore the answer to the question "What 2 square numbers subtract to make 9429?" is 55225 and 45796 as illustrated below:

55225 - 45796 = 9429

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 9429. Below we list alternate solutions if available.

458329 - 448900 = 9429

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