Question

I need the value of k with full procedure

Answer 1

Answer:

-15.81

Step-by-step explanation:

Let say roots are   3a  & 2a

(x-3a)(x-2a) = 0

x^2 -5ax + 6a^2 = 0

12x^2 - 60ax + 72a^2 = 0

12x^2 + kx + 5 = 0

72a^2 = 5

a^2 = 5/72

a = √(5/72) = √5/6√2

k = - 60a   =

K =  - 60 * (√5/6√2)

k = -10 (√5/√2)

k = -15.81