Just for fun!-IV

Algebra Level 3

x+1+x1x+1x1=4x12,x= ?\large \dfrac { \sqrt { x+1 } +\sqrt { x-1 } }{ \sqrt { x+1 } -\sqrt { x-1 } } =\dfrac { 4x-1 }{ 2 } \quad, \quad x= \ ?

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