# How do you solve x^2 = 7x + 11 using the quadratic formula?

Jun 9, 2018

color(green)(x = (7 + sqrt(93)) / 2, (7 - sqrt(93)) / 2

#### Explanation:

${x}^{2} = 7 x + 11$

color(crimson)("Quadratic Formula " x = (-b +- sqrt(b^2 - 4ac)) / (2a)

$a = 1 , b = - 7 , c = - 11$

x = 7 +- sqrt(7^2 + 44)) / 2

color(green)(x = (7 + sqrt(93)) / 2, (7 - sqrt(93)) / 2