Question

9. If alpha , ß are zeros of x2-6x+k. What is value of k if 3alpha +2 Bita =20​

Answer 1

Step-by-step explanation:

value of k is -16 ....✔❌

hope it will help you NANBA❌✔

Answer 2

Step-by-step explanation:

Polynomial   P(x) = x² - 6 x + a

Given  α and  β  are the roots.     To find a , if 3 α + 2 β = 20.  ---(1)

From the quadratic expression:

    α + β = 6       ---(2)

    and   α β = k  --- (3)

Multiply equation (2) by 2 and subtract from (1) to get:

    k = 20 -12 = 8

Substitute this value in(2) to get:    

     β = 6-8 = -2   

Substitute these in (3) to get:    k = α β = -16.

k=-16