SOLUTION: Solve the following equation for x by using the quadratic formula: 2x^2 + 8x + 3 = 0

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Question 39025: Solve the following equation for x by using the quadratic formula:
2x^2 + 8x + 3 = 0

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Solve the following equation for x by using the quadratic formula:
2x^2 + 8x + 3 = 0
Solved by pluggable solver: SOLVE quadratic equation with variable
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=40 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: -0.41886116991581, -3.58113883008419. Here's your graph:

Hope this helps.
Cheers,
Stan H.

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