The value/s of ‘k’ for which the quadratic equation 2x2 – kx + k = 0 has equal roots is (are):

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0, 8 Explanation: For 2x2 – kx + k = 0, a = 2, b = –k, c = k. Equal roots occur when discriminant = 0: D = b2 – 4ac = (–k)2 – 4 $\times$ 2 $\times$ k = k2 – 8k = k(k – 8) = 0 Hence, k = 0 or k = 8.

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