Q2 of 180 Page 2

Value(s) of k for which the quadratic equation 2x2 – kx + k = 0 has equal roots is/are

If a quadratic equation has two equal roots, then its discriminant value will be equal to zero i.e.,


D = b2 – 4ac = 0


Given, 2x2 – kx + k = 0


For equal roots,


D = b2 – 4ac = 0


⇒ (– k)2 – 4(2)(k) = 0


⇒ k2 – 8k = 0


⇒ k (k – 8) = 0


⸫ k = 0, 8

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