2021 · Q73
If the equation 4x² − 2kx + 3k = 0 has equal roots, then what are the values of k?
Elementary MathematicsAlgebra
- A4, 12
- B4, 8
- C0, 12
- D0, 8
Explanation
Equal roots need the discriminant to be zero: (2k)² − 4·4·3k = 4k² − 48k = 0. Factoring, 4k(k − 12) = 0, so k = 0 or k = 12. Hence option C.