Question

If alpha and beta are roots of quadratic equation x^2 - p( x + 1) - c = 0 then (alpha + 1 )( beta + 1) =?

Answer 1

Explanation:

x²-px-p-c=0

sum of roots=α+β=-b/a=p

product of roots=αβ=c/a=-p-c

(α+1)(β+1)=αβ+α+β+1=-p-c+p+1=-c+1