SOLUTION: Hi...there was no way i could figure this one out. Apply the quadratic formula to find the roots of the given function, and then graph the function. g(x) = -2x^2 + 8x - 3

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Question 36784: Hi...there was no way i could figure this one out.
Apply the quadratic formula to find the roots of the given function, and then graph the function.
g(x) = -2x^2 + 8x - 3
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
g(x) = -2x^2 + 8x - 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=40 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 0.41886116991581, 3.58113883008419. Here's your graph:

Hope this helps.
Cheers,
Stan H.
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