Let λ ≠ 0 be a real number. Let α , β be the roots of the equation 14 x 2 - 31 x + 3 λ = 0 and α , γ be the roots of the equation 35 x 2 - 53 x + 4 λ = 0 . Then 3 α β and 4 α γ are the roots of the equation :

Step-by-step solution

Given α and β are roots of the below equation 14 x 2 - 31 x + 3 λ = 0 So, α + β = 31 14             … 1 And, α β = 3 λ 14               … 2 Given α and γ are roots of the below equation 35 x 2 - 53 x + 4 λ = 0 So, α + γ = 53 35                   … 3 And, α γ = 4 λ 35             &#