Question

If alpha,beta,gamma are the roots of x^3-px^2+qx-r=0 then 1 by alpha+beta+1 by beta+gamma+1 by gamma + alpha=

Answer 1

Answer:

If alpha,beta,gamma are the roots of x^3-px^2+qx-r=0 then 1 by alpha+beta+1 by beta+gamma+1 by gamma + alpha =

Answer : α, β, ૪  

are the zeros of polynomial.

Here a = 1, b = -p, c = q and d = -r

Consider = 1/αβ + 1/β૪ + 1/૪α

               = α + β + ૪/αβ૪

               = b/a//d/a

                =b/a X a/d

                = b/d  

                = -p/-r  

                = p/r

So the answer is p/r.