$\alpha = \sin 36^\circ $ is a root of which of the following equation?

Question

$16{x^4} - 10{x^2} - 5 = 0$

$16{x^4} + 20{x^2} - 5 = 0$

$4{x^4} - 20{x^2} + 5 = 0$

$4{x^4} - 10{x^2} + 5 = 0$

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