JEE Main 202430 Jan, Morning shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002Let α,β∈N\alpha, \beta \in \mathbf{N}α,β∈N be roots of the equation x2−70x+λ=0x^2-70 x+\lambda=0x2−70x+λ=0, where λ2,λ3∉N\frac{\lambda}{2}, \frac{\lambda}{3} \notin \mathbf{N}2λ,3λ∈/N. If λ\lambdaλ assumes the minimum possible value, then (α−1+β−1)(λ+35)∣α−β∣\frac{(\sqrt{\alpha-1}+\sqrt{\beta-1})(\lambda+35)}{|\alpha-\beta|}∣α−β∣(α−1+β−1)(λ+35) is equal to :Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
