SOLUTION: solve using the quadratic formula, simplify the exact answer: 2x^2+12x=-2x^2-6

Question 183997: solve using the quadratic formula, simplify the exact answer:
2x^2+12x=-2x^2-6
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
solve using the quadratic formula, simplify the exact answer:
2x^2+12x=-2x^2-6

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=12 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: -0.633974596215561, -2.36602540378444. Here's your graph:

----------------
So it's
-(3/2) + sqrt(3)/2
-(3/2) - sqrt(3)/2

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