Question

if sum of roots of equation 5x^2-4x+2+k(4x^2-2x-1) =0 is 6 then find k​

Answer 1

Step-by-step explanation:

Correct option is

D

11

−13

Given equation is 5x

2

−4x+2+k(4x

2

−2x−1)=0

⇒x

2

(5+4k)−x(2k+4)+2−k=0

Hence, sum of the roots is

4k+5

2k+4

=6

Therefore, 2k+4=6(4k+5)

⇒2k+4=24k+30

⇒−26=22k

⇒k=

22

−26

⇒k=

11

−13

Answer 2

Answer:

1.56

Step-by-step explanation:

(5×6)^2 -4×6 +2+k ( 4×6^2- 2×6-1) =0

30^2- 24+2 +k( 24^2- 12-1 )= 0

900-22 + k( 576- 13)= 0

878+ k( 563)= 0

563k = -878

k= -878/563

= -1.56

Hope it helps you.