SOLUTION: how many solutions are there to this equation -0.2x^2+12x+11=0 and how do you know?

Question 276030: how many solutions are there to this equation -0.2x^2+12x+11=0 and how do you know?
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
there are two solutions and i know because I am smart.
The Discriminant tells you.

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=152.8 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: -0.903074280724887, 60.9030742807249. Here's your graph:

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