Question

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

Answer 1

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

Explanation:

`x^2 = 7x + 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`