If (2+ 3 )^ x^ 2 -2 x+1 +(2- 3 )^ x^ 2 -2 x-1 = 2 2- 3 and x > 0 then, the value of x is

Mathematics · JEE Main · NTA ExamsComplex Numbers and Quadratic Equations

If \((2+\sqrt{3})^{x^{2}-2 x+1}+(2-\sqrt{3})^{x^{2}-2 x-1}=\frac{2}{2-\sqrt{3}}\) and x > 0 then, the value of x is
  1. 2
  2. \(2+\sqrt{3}\)
  3. 1
  4. None of these

Answer

(C) 1

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