SOLUTION: What are the solutions of the quadratic equation? 4x^2 + 33x + 54 = 0

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Question 699585: What are the solutions of the quadratic equation?
4x^2 + 33x + 54 = 0
Answer by Stitch(470)   (Show Source): You can put this solution on YOUR website!
Since the equation is set to zero, you can use the quadratic equation.
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=225 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: -2.25, -6. Here's your graph:

So x can equal -2.25 and -6
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