Find the value of k for which the quadratic equation 2x^2 + kx + 3 = 0 has real and equal roots.
A±2*sqrt(6)
B±3*sqrt(2)
C±4
D±6
Explanation
Equal roots => D = b^2 – 4ac = 0 => k^2 – 4(2)(3) = 0 => k^2 = 24 => k = ±sqrt(24) = ±2*sqrt(6).
Exam Relevance
- Topic: Algebra
- Subtopic: Quadratic Discriminant
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