SOLUTION: Use the quadratic formula to find the solutions to the quadratic equation below. 3x^2-x-2=0?

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Use the quadratic formula to find the solutions to the quadratic equation below. 3x^2-x-2=0?      Log On


   



Question 712176: Use the quadratic formula to find the solutions to the quadratic equation below.
3x^2-x-2=0?

Answer by Ave(106) About Me  (Show Source):
You can put this solution on YOUR website!
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ this is the quadratic formula
ax%5E2%2Bbx%2Bc=0 find a,b, and c in 3x%5E2-x-2=0
a=3
b=-1
c=-2
Plug values into the equation and solve
x+=+%28-%28-1%29+%2B-+sqrt%28+-1%5E2-4%283%29%28-2%29+%29%29%2F%282%2A3%29+ Simplify
x+=+%281+%2B-+sqrt%2825%29%29%2F%286%29+
x+=+%281+%2B-+5%29%2F%286%29+
1%2F6+%2B5%2F6+=+6%2F6+=+1
x=1
1%2F6-5%2F6+=+-4%2F6+=+-2%2F3
x=-2%2F3
{-2/3,1}