Explicación paso a paso:
[tex] {x}^{2} - 6x + 1 = 0 \\ x = \frac{ 6 + - \sqrt{ {6}^{2} - 4 \times 1 \times 1 } }{2 \times 1} \\ x = \frac{ 6 + - \sqrt{36 - 4} }{2} \\ x = \frac{ 6 + - \sqrt{32} }{2} \\ \\ x = \frac{ 6 + 4 \sqrt{2} }{2} \\ x = \frac{6 - 4 \sqrt{2} }{2} \\ \\ x = 3 + 2 \sqrt{2} \\ x = 3 - 2 \sqrt{2} [/tex]
