SOLUTION: Solve using the quadratic formula: 4x^2+12x=-3

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Question 46050: Solve using the quadratic formula: 4x^2+12x=-3
Found 2 solutions by venugopalramana, atif.muhammad:
Answer by venugopalramana(3286)   (Show Source): You can put this solution on YOUR website!
Solve using the quadratic formula: 4x^2+12x=-3
4x^2+12x+3=0.....a=4....b=12...c=3
Answer by atif.muhammad(135)   (Show Source): You can put this solution on YOUR website!
Solve using the quadratic formula: 4x^2+12x=-3
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=96 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: -0.275255128608411, -2.72474487139159. Here's your graph:
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