Value(s) of k for which the quadratic equation 2x2 – kx + k = 0 has equal roots is/are
If a quadratic equation
ax2 + bx + c = 0, a ≠ 0 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