The quadratic equation 2x2−x−6=0 has one obvious integer root.
(i) By direct substitution, show that x=2 is a root of the equation.
(ii) Using the result from part (i), factorise 2x2−x−6 completely.
(iii) Hence, determine the second root of the equation.
(iv) Verify that both roots satisfy the original quadratic equation.