SOLUTION: Select the approximate values of x that are solutions to f(x) = 0, where f(x) = -3x2 + 2x + 8. 1.{-1.33,2.00} 2.{-3,2} 3.{-0.67,-2.67} 4.{-0.38,0.25}

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Question 878617: Select the approximate values of x that are solutions to f(x) = 0, where
f(x) = -3x2 + 2x + 8.
1.{-1.33,2.00}
2.{-3,2}
3.{-0.67,-2.67}
4.{-0.38,0.25}

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi
f(x) = -3x2 + 2x + 8.
1.{-1.33,2.00}
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=100 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: -1.33333333333333, 2. Here's your graph:

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