Find the value of , , , and for the following case:
I started for the first one:
This is as far as I got, the last term is what stumps me.
Thanks!
In problems of this type, the usual convention is that means the sum of all products of pairs of roots (not just products taken in cyclic order, but all pairs of products). In other words, , and . With this convention, is equal to the coefficient of in the quartic equation, so it is equal to 0.
Hello, arze!
The problem is not stated clearly.
And those Greek letters are too hard to type.
I'll do a few of these . . .
. .
. .
. .
. .
From Vieta's Theorem, we have these equations:
. .
Square [1]: .
. .
. .
Therefore: .
. .
Therefore: .
Get the idea?