Question

If α and βare the zeroes of polynomial 3x2+5x+k such that α2+β2+αβ=19/9 then find k

Answer 1

Answer:

2

Step-by-step explanation:

Since α and β are zeroes of polynomial,

α+β=-5/3

αβ=k/3

α²+β²+αβ=(α+β)²-αβ =19/9

               =25/9-k/3=19/9

                 k=2