Let p, q R. If 2- 3 is a root of the quadratic equation, x^ 2 +p x+q=0 , then:

Mathematics · JEE Main · NTA ExamsComplex Numbers and Quadratic Equations

Let p, q ∈ R. If \(2-\sqrt{3}\) is a root of the quadratic equation, \(x^{2}+p x+q=0\), then:
  1. \(p^{2}-4 q+12=0\)
  2. \(q^{2}-4 p-16=0\)
  3. \(q^{2}+4 p+14=0\)
  4. \(p^{2}-4 q-12=0\)

Answer

(D) p^ 2 -4 q-12=0

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