Giải phương trình: \({\cos ^2}x + \dfrac{1}{{{{\cos }^2}x}} + \cos x - \dfrac{1}{{\cos x}} - \dfrac{7}{4} = 0\).
A.\(\left[ \begin{array}{l}x = \arccos \dfrac{{\sqrt {17} - 1}}{4} + k2\pi \\x = - \arccos \dfrac{{\sqrt {17} - 1}}{4} + k2\pi \end{array} \right.\)
B.\(\left[ \begin{array}{l}x = \arccos \dfrac{{\sqrt {17} - 1}}{4} + k\pi \\x = - \arccos \dfrac{{\sqrt {17} - 1}}{4} + k\pi \end{array} \right.\)
C.\(\left[ \begin{array}{l}x = \arccos \dfrac{{\sqrt {17} + 1}}{4} + k2\pi \\x = - \arccos \dfrac{{\sqrt {17} + 1}}{4} + k2\pi \end{array} \right.\)
D.\(\left[ \begin{array}{l}x = \arccos \dfrac{{\sqrt {17} + 1}}{4} + k\pi \\x = - \arccos \dfrac{{\sqrt {17} + 1}}{4} + k\pi \end{array} \right.\)