SOLUTION: what are the zeros for the polynomial 6x2 - 27x -54

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Question 273640: what are the zeros for the polynomial 6x2 - 27x -54
Found 2 solutions by asuar010, checkley77:
Answer by asuar010(338)   (Show Source): You can put this solution on YOUR website!
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=2025 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 6, -1.5. Here's your graph:
Answer by checkley77(12844)   (Show Source): You can put this solution on YOUR website!
6x2 - 27x -54=0
(6x+9)(x-6)=0
6x+9=0
6x=-9
x=-9/6
x=-1.5 ans.
x-6=0
x=6 ans.
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