Question

If a and B are the roots of the equation x^2+6x+λ=0 and 3a+2b=-20 then λ=​

Answer 1

Step-by-step explanation:

{x

2

+6x−λ=0}

α & β are roots of this eq

n

⇒α+β=

1

−6

...(1)αβ=λ

and 3α+2β=−20...(2)

3(α+β)=−6×3...(3) (Multiplying (1) × 3)

on subtracting (2) & (3), we get

3α+2β=−20

−3α+3β=−18

_______________

−β=−2 ,

β=−2

α=−6−β=−6−(−2)=−6+2

=−4

α=−4

∴λ=αβ

=(−4)(−2)=8

λ=8 option D is correct.