Solve the quadratic equation 6x2−17x+5=0 and answer the following questions.
(i) Find both roots of the equation, showing all necessary steps.
(ii) Calculate the sum and the product of the roots obtained in part (i) and verify that they agree with the corresponding coefficients of the equation.
(iii) Explain briefly, in not more than three sentences, why the method you used in part (i) was an efficient choice for this particular equation.