Find the value of k for which the quadratic equation 2x2 – kx + k = 0 has equal roots.

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0, 8

answer is D.

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Detailed Solution

It is given that the quadratic equation 2x2 – kx + k = 0 has equal roots.
The standard form of the quadratic equation is given by ax2 + bx + c = 0.
On comparing, a = 2, b = -k and c = k.
If the equation has real roots then b2 – 4ac = 0.

⇒ (− k) 2 − 4 (2) (k) = 0 ⇒ k 2 − 8 k = 0 ⇒ k (k − 8) = 0 ⇒ k = 0, 8

Hence, the values of k are 0 and 8.
Therefore, the correct answer is option (4).

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