Question

Check the attachment for question

Answer 1

Step-by-step explanation:

alpha+beta=-b/a

alpha+beta=-3/k

alpha*beta=c/a

alpha*beta=2/k

#alpha^2+beta^2=(alpha+beta)^2-2alpha*beta

so,

(alpha+beta)^2-2alpha*beta+alpha*beta

(alpha+beta)^2-alpha*beta=-1/25

putting up the values

(-3/k)^2-(2/k)=-1/25

9/k^2-2/k=-1/25

lcm=k^2

9-2k/k^2=-1/25

25(9-2k)=-k^2

225-50k=-k^2

k^2-50k+225=0

hope u can solve now..