# How do you solve 2x^2-11x=1 using the quadratic formula?

Jun 9, 2018

color(brown)(x = (7 + sqrt129) / 4, x = (7 - sqrt129) / 4

#### Explanation:

$2 {x}^{2} - 11 x - 1 = 0$

$a = 2 , b = - 11 , c = - 1$

$\text{Quadratic Formula } x = \frac{- b \pm \sqrt{{b}^{2} - 4 a c}}{2 a}$

$x = \frac{11 \pm \sqrt{{11}^{2} + 8}}{4}$

$x = \frac{7 + \sqrt{129}}{4} , x = \frac{7 - \sqrt{129}}{4}$