Answer:
[tex] {(4x - 1)}^{2} = 11 \\ 4x - 1 = \sqrt{11} \: \: \: \: 4x - 1 = - \sqrt{11} \\4 x = \sqrt{11} + 1 \: \: \: \: 4x = - \sqrt{11} + 1 \\ x = \frac{ \sqrt{11} }{4} + \frac{1}{4} \: \: \: \: \: \: x = - \frac{ \sqrt{11} }{4} + \frac{1}{4} [/tex]