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Find the value of k for which the equation 3x2 - 6x + k = 0 has distinct and real roots.
Given that 2 is a root of the equation 3x2 - p(x + 1) = 0 and that the equation px2 - qx + 9 = 0 has equal roots, find the values of p and q.
Use quadratic formula to solve:
x2 = 4x