SOLUTION: Solve the following quadratic equation 3v^2+4v-2=0 Having trouble really with this one PLEASE HELP!!!

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Solve the following quadratic equation 3v^2+4v-2=0 Having trouble really with this one PLEASE HELP!!!      Log On


   

Question 309684: Solve the following quadratic equation
3v^2+4v-2=0
Having trouble really with this one PLEASE HELP!!!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

3v%5E2%2B4v-2=0 Start with the given equation.


Notice that the quadratic 3v%5E2%2B4v-2 is in the form of Av%5E2%2BBv%2BC where A=3, B=4, and C=-2


Let's use the quadratic formula to solve for "v":


v+=+%28-B+%2B-+sqrt%28+B%5E2-4AC+%29%29%2F%282A%29 Start with the quadratic formula


v+=+%28-%284%29+%2B-+sqrt%28+%284%29%5E2-4%283%29%28-2%29+%29%29%2F%282%283%29%29 Plug in A=3, B=4, and C=-2


v+=+%28-4+%2B-+sqrt%28+16-4%283%29%28-2%29+%29%29%2F%282%283%29%29 Square 4 to get 16.


v+=+%28-4+%2B-+sqrt%28+16--24+%29%29%2F%282%283%29%29 Multiply 4%283%29%28-2%29 to get -24


v+=+%28-4+%2B-+sqrt%28+16%2B24+%29%29%2F%282%283%29%29 Rewrite sqrt%2816--24%29 as sqrt%2816%2B24%29


v+=+%28-4+%2B-+sqrt%28+40+%29%29%2F%282%283%29%29 Add 16 to 24 to get 40


v+=+%28-4+%2B-+sqrt%28+40+%29%29%2F%286%29 Multiply 2 and 3 to get 6.


v+=+%28-4+%2B-+2%2Asqrt%2810%29%29%2F%286%29 Simplify the square root (note: If you need help with simplifying square roots, check out this solver)


v+=+%28-4%2B2%2Asqrt%2810%29%29%2F%286%29 or v+=+%28-4-2%2Asqrt%2810%29%29%2F%286%29 Break up the expression.


v+=+%28-2%2Bsqrt%2810%29%29%2F%283%29 or v+=+%28-2%2Bsqrt%2810%29%29%2F%283%29 Reduce.


So the solutions are v+=+%28-2%2Bsqrt%2810%29%29%2F%283%29 or v+=+%28-2%2Bsqrt%2810%29%29%2F%283%29