$\alpha = \sin 36 ^ { \circ }$ is a root of which of the following equation
(1) $16 x ^ { 4 } - 20 x ^ { 2 } + 5 = 0$
(2) $16 x ^ { 4 } + 20 x ^ { 2 } + 5 = 0$
(3) $10 x ^ { 4 } - 10 x ^ { 2 } - 5 = 0$
(4) $16 x ^ { 4 } - 10 x ^ { 2 } + 5 = 0$
$\alpha = \sin 36 ^ { \circ }$ is a root of which of the following equation\\
(1) $16 x ^ { 4 } - 20 x ^ { 2 } + 5 = 0$\\
(2) $16 x ^ { 4 } + 20 x ^ { 2 } + 5 = 0$\\
(3) $10 x ^ { 4 } - 10 x ^ { 2 } - 5 = 0$\\
(4) $16 x ^ { 4 } - 10 x ^ { 2 } + 5 = 0$