Multiple choice

If $\alpha,\beta$ are the roots of the quadratic equation ${ x }^{ 2 }-\left( { 3+2 }^{ \sqrt { \log _{ 2 }{ 3 } } }-{ 3 }^{ \sqrt { \log _{ 3 }{ 2 } } } \right) x-2\left( { 3 }^{ \log _{ 3 }{ 2 } }-{ 2 }^{ \log _{ 2 }{ 3 } } \right) =0$, then the value of ${\alpha},{\beta}$ is.

  1. $1,2$
  2. $5,4$
  3. $1,3$
  4. $2,3$
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A Correct answer