Question

If the roots of the equation (λ+1)x³−(λ²+2)x²−(λ²+2)x+ (λ+1)=0; λϵR are in a A.P. with non-zero common difference and one of the roots is independent of λ, then the sum of all possible values of λ is m. Find the value of 4m.

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Answer 1

Answer:

f the roots of the equation (λ+1)x³−(λ²+2)x²−(λ²+2)x+ (λ+1)=0; λϵR are in a A.P. with non-zero common difference and one of the roots is independent of λ, then the sum of all possible values of λ is m. Find the value of 4m.