perplexus.info :: Just Math : Some factorial and some power

Some factorial and some power (Posted on 2024-03-26)

Find all possible non-negative integer solution (x,y) of the following equation

x! + 2^y = (x+1)!

No Solution Yet Submitted by Danish Ahmed Khan

Rating: 3.0000 (1 votes)

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| Comment 3 of 5 |

To solve the equation $x! + 2 y = (x + 1)!$ , we can simplify it by expanding the factorials and then rearranging terms to isolate $y$ .

First, let's expand the factorials:

$x! +$

Posted by Jeffrey Warner on 2024-03-27 12:08:59

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