SOLUTION: Solve the equation using the quadratic formula. 2x^2 + 10x + 3 = 0

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Question 185410: Solve the equation using the quadratic formula.
2x^2 + 10x + 3 = 0

Answer by nerdybill(7384)   (Show Source): You can put this solution on YOUR website!
2x^2 + 10x + 3 = 0
Applying the quadratic yields:
x = {-0.321, -4.679}
.
Details below:
.
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=76 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: -0.320550528229663, -4.67944947177034. Here's your graph:

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