How do you solve x^2 – 3x = -6x – 1 using the quadratic formula?

1 Answer
May 3, 2017

color(red)(x=(-3+sqrt5)/2=-0.382 to the nearest 3 decimal #
or

color(red)(x=(-3-sqrt5)/2=-2.618 to the nearest 3 decimal places

Explanation:

x^2-3x=-6x-1

x^2+3x+1=0

quadratic formula:

x=(-b+-sqrt(b^2-4ac))/(2a)

x=(-(3)+-sqrt((3^2)-4(1)(1)))/(2(1))

x=(-3+-sqrt(9-4))/2

x=(-3+-sqrt5)/2

color(red)(x=(-3+sqrt5)/2=-0.382 to the nearest 3 decimal places

or

color(red)(x=(-3-sqrt5)/2=-2.618 to the nearest 3 decimal places