2014 · Q40
If the equation x² + 2(1 + k)x + k² = 0 has equal roots, then what is the value of k?
Elementary MathematicsAlgebra
- A1/2
- B−1/2
- C1
- D−1
Explanation
Discriminant zero: 4(1 + k)² − 4k² = 0 gives 1 + 2k = 0, so k = −1/2.
If the equation x² + 2(1 + k)x + k² = 0 has equal roots, then what is the value of k?
Explanation
Discriminant zero: 4(1 + k)² − 4k² = 0 gives 1 + 2k = 0, so k = −1/2.