Question

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

Answer 1

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

Explanation:

`2x^2 - 11x - 1 = 0`

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

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

`x = (11 +- sqrt(11^2 + 8)) / 4`

`x = (7 + sqrt129) / 4, x = (7 - sqrt129) / 4`