SOLUTION: Solve the following equation 2x^2+8x+5=0

Question 411171: Solve the following equation
2x^2+8x+5=0
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Solve the following equation
2x^2+8x+5=0
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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=24 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: -0.775255128608411, -3.22474487139159. Here's your graph:

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x = 2 � sqrt(6)/2

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