Quadratic Formula by Boxed Rockets

Use the Quadratic Formula to Solve with Surds.

x^{2} - 14 x + 7 = 0

x = 7 \pm \sqrt{42}

x^{2} + 12 x - 1 = 0

x = -6 \pm \sqrt{37}

x^{2} - 11 x + 2 = 0

x = \frac{11 \pm \sqrt{113}}{2}

x^{2} + 10 x - 1 = 0

x = -5 \pm \sqrt{26}

x^{2} + 15 x - 6 = 0

x = \frac{-15 \pm \sqrt{249}}{2}

x^{2} - 8 x - 2 = 0

x = 4 \pm 3 \sqrt{2}