Poly or Ineq?

Algebra Level 3

Find xRx \in \mathbb R so that x4+3x2+1x2+x44x2+1x3+x=4\dfrac { x^{ 4 }+3{ x }^{ 2 }+1 }{ { x }^{ 2 } } +\dfrac { { x }^{ 4 }-4{ x }^{ 2 }+1 }{ { x }^{ 3 }+x } = 4.

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