Consider the expression 12x4−48x2+36.
a. (i) Extract the greatest common factor (GCF) and write the simplified expression.
b. (ii) Factor the resulting quadratic expression completely.
c. (iii) Hence, obtain the complete factorisation of 12x4−48x2+36.
d. (iv) Using the factorised form, solve the equation 12x4−48x2+36=0, clearly listing all real roots.