The roots of the equation, (x 2 + 1) 2 = x(3x 2 + 4x + 3), are given by

Mathematics · JEE Advanced · NTA Exams — Complex Numbers and Quadratic Equations

1. \(2-\sqrt{3}\)
2. \((-1+i \sqrt{3}) / 2, i=\sqrt{-1}\)
3. \(2+\sqrt{3}\)
4. \((-1-i \sqrt{3}) / 2, i=\sqrt{-1}\)

Answer

(A) 2- 3, (B) (-1+i 3 ) / 2, i= -1, (C) 2+ 3, (D) (-1-i 3 ) / 2, i= -1

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