a) The quadratic 3x² - 12x - 11 can be written in the form 3(x + a)² + b

Find the values of a and b.

b) Given that the solutions of the equation 3x² - 12x - 11 = 0
can be written as c± √d, where c and d are rational numbers.

Find the values of c and d.
Note: Please write your answer for d as a fraction in its simplest form.