Question

Solve for x and express the roots in terms of i: `-3x^2+2x=2?`

Answer 1

`x=1/3+-sqrt5/3i`

Explanation:

`"rearrange into standard form"`

`rArr3x^2-2x+2=0`

`"with "a=3,b=-2" and "c=2`

`"solve using the "color(blue)"quadratic formula"`

`x=(2+-sqrt(4-24))/6`

`color(white)(x)=(2+-sqrt(-20))/6=(2+-2sqrt5i)/6`

`rArrx=1/3+-sqrt5/3i`