Let \( \lambda \neq 0 \) be a real number. Let \( \alpha, \beta \) be the roots of the equation \( 14x^2 - 31x + 3\lambda = 0 \) and \( \alpha, \gamma \) be the roots of the equation \( 35x^2 - 53x + 4\lambda = 0 \). Then \( \dfrac{3\alpha}{\beta} \) and \( \dfrac{4\alpha}{\gamma} \) are the roots of the equation:
