Question

If α and β are the roots of the equation $x^2+6x+\lambda =0$ and $3\alpha +2\beta =-20$, then λ =

• A. -8
• B. -16
• C. 16
• D. 8

Answer 1

The correct option is B

-16

α + β = -6 .....(i)

αβ = λ ......(ii)

and given 3α + 2β = -20 ......(iii)

Solving (i) and (iii), we get β = 2, α = -8

Substituting these values in (ii), we get λ = -16