SOLUTION: Which of the following are solutions to the quadratic equation? Check all that apply. 2x2 + 7x - 2 = - x2 + 2x

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: Which of the following are solutions to the quadratic equation? Check all that apply. 2x2 + 7x - 2 = - x2 + 2x      Log On


   

Question 714093: Which of the following are solutions to the quadratic equation? Check all that apply.
2x2 + 7x - 2 = - x2 + 2x
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
2x%5E2+%2B+7x+-+2+=+-x%5E2+%2B+2x
First we need one side to be zero. Subtracting the entire right side from both sides we get:
3x%5E2%2B5x-2=0
Now we factor (or use the Quadratic Formula). This factors without too much difficulty:
(3x-1)(x+2) = 0
From the Zero Product Property:
3x-1 = 0 or x+2 = 0
Solving these we get:
x = 1/3 or x = -2