Hello ldx2
Welcome to Math Help Forum!I agree: .
There are various ways of deriving . Here's one. And here's my version:So if we put is the root of the equation:
for which .
Noting that satisfies this equation, we can factorise:
and then discard the factor , since .
We then note that is also a root. Hence is a factor, which again we discard for the same reason; leaving us with the remaining factor:the positive root of which is:Hence
Grandad
Thanks for the quick reply and solving it. EDIT: I understood until the part where you say x=-1/2 is also a root and how you found out (2x+1) is also a factor. Could you explain that part in more detail ?