Quadratic Formula by Boxed Rockets

Use the Quadratic Formula to Solve with Surds.

x^{2} + 15 x - 5 = 0

x = \frac{-15 \pm 7 \sqrt{5}}{2}

x^{2} - 9 x + 7 = 0

x = \frac{9 \pm \sqrt{53}}{2}

x^{2} + 11 x - 6 = 0

x = \frac{-11 \pm \sqrt{145}}{2}

x^{2} + 14 x - 5 = 0

x = -7 \pm 3 \sqrt{6}

x^{2} + 12 x - 7 = 0

x = -6 \pm \sqrt{43}

x^{2} - 4 x - 5 = 0

x = 5 or -1