1.
Let λ0\lambda \neq 0 be a real number. Let α,β\alpha, \beta be the roots of the equation 14x231x+3λ=014x^2 - 31x + 3\lambda = 0 and α,γ\alpha, \gamma be the roots of the equation 35x253x+4λ=035x^2 - 53x + 4\lambda = 0. Then 3βλ\frac{3\beta}{\lambda} and 4γλ\frac{4\gamma}{\lambda} are the roots of the equation: