List down all possible values of the constant k so that \( 3x^2 -2kx + 2 = 0\)

Solution:

• To two equal roots the discriminant must be equal to zero.

• \(b^2 - 4ac = 0\)

• \((-2k)^2 -4(3)(2) = 0\)

• \(k^2 = 6\)

• \( k = \pm \sqrt{6}\)