SOLUTION: Please solve the equation using the quadratic formula. Thanks! 2x^2=-6x-3

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Question 976212: Please solve the equation using the quadratic formula. Thanks!
2x^2=-6x-3
Found 2 solutions by Alan3354, rothauserc:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Please solve the equation using the quadratic formula. Thanks!
2x^2=-6x-3

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:
Answer by rothauserc(4718)   (Show Source): You can put this solution on YOUR website!
2x^2 = -6x -3
-2x^2 -6x -3 = 0
x^2 + 3x + 1.5 = 0
a = 1, b = 3, c = 1.5
x = (-b + or - sqrt(b^2 - 4ac)) / 2a
x = (-3 + or - sqrt(9 - 4(1)(1.5)) / 2)
x = (-3 + or - sqrt(3)) / 2
x = (-3 + 1.732050808 ) / 2 = −0.633974596 approx -0.633975
x = (-3 - 1.732050808 ) / 2 = −2.366025404 approx -2.36603
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